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Finding the Third Proportional to 1,240,577,875.13 and 1,920,687,580.69

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Solution

The third proportional to 1,240,577,875.13 and 1,920,687,580.69 is: 2,973,647,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,577,875.13 : 1,920,687,580.69 = 1,920,687,580.69 : x
  2. Step 2: Convert to fraction form
    1,240,577,875.13/1,920,687,580.69 = 1,920,687,580.69/x
  3. Step 3: Cross multiply
    1,240,577,875.13x = 1,920,687,580.69 × 1,920,687,580.69
  4. Step 4: Simplify right side
    1,240,577,875.13x = 3,689,040,782,607,201,792
  5. Step 5: Solve for x
    x = 3,689,040,782,607,201,792/1,240,577,875.13
  6. Step 6: Final answer
    x = 2,973,647,085.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.