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Finding the Third Proportional to 773,886,874,445.85 and 1,683,645,184,998.50

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Solution

The third proportional to 773,886,874,445.85 and 1,683,645,184,998.50 is: 3,662,888,210,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,445.85 : 1,683,645,184,998.50 = 1,683,645,184,998.50 : x
  2. Step 2: Convert to fraction form
    773,886,874,445.85/1,683,645,184,998.50 = 1,683,645,184,998.50/x
  3. Step 3: Cross multiply
    773,886,874,445.85x = 1,683,645,184,998.50 × 1,683,645,184,998.50
  4. Step 4: Simplify right side
    773,886,874,445.85x = 2,834,661,108,968,633,233,571,840
  5. Step 5: Solve for x
    x = 2,834,661,108,968,633,233,571,840/773,886,874,445.85
  6. Step 6: Final answer
    x = 3,662,888,210,887.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.