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Finding the Third Proportional to 1,905,374,541 and 4,127,363,359.50

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Solution

The third proportional to 1,905,374,541 and 4,127,363,359.50 is: 8,940,566,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,374,541 : 4,127,363,359.50 = 4,127,363,359.50 : x
  2. Step 2: Convert to fraction form
    1,905,374,541/4,127,363,359.50 = 4,127,363,359.50/x
  3. Step 3: Cross multiply
    1,905,374,541x = 4,127,363,359.50 × 4,127,363,359.50
  4. Step 4: Simplify right side
    1,905,374,541x = 17,035,128,301,343,125,504
  5. Step 5: Solve for x
    x = 17,035,128,301,343,125,504/1,905,374,541
  6. Step 6: Final answer
    x = 8,940,566,767.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.