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Finding the Third Proportional to 773,886,874,432.40 and 1,683,645,184,973.10

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Solution

The third proportional to 773,886,874,432.40 and 1,683,645,184,973.10 is: 3,662,888,210,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,432.40 : 1,683,645,184,973.10 = 1,683,645,184,973.10 : x
  2. Step 2: Convert to fraction form
    773,886,874,432.40/1,683,645,184,973.10 = 1,683,645,184,973.10/x
  3. Step 3: Cross multiply
    773,886,874,432.40x = 1,683,645,184,973.10 × 1,683,645,184,973.10
  4. Step 4: Simplify right side
    773,886,874,432.40x = 2,834,661,108,883,104,328,581,120
  5. Step 5: Solve for x
    x = 2,834,661,108,883,104,328,581,120/773,886,874,432.40
  6. Step 6: Final answer
    x = 3,662,888,210,841.10

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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.