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Finding the Third Proportional to 808,887,943 and 1,742,731,366

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Solution

The third proportional to 808,887,943 and 1,742,731,366 is: 3,754,676,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,887,943 : 1,742,731,366 = 1,742,731,366 : x
  2. Step 2: Convert to fraction form
    808,887,943/1,742,731,366 = 1,742,731,366/x
  3. Step 3: Cross multiply
    808,887,943x = 1,742,731,366 × 1,742,731,366
  4. Step 4: Simplify right side
    808,887,943x = 3,037,112,614,040,225,792
  5. Step 5: Solve for x
    x = 3,037,112,614,040,225,792/808,887,943
  6. Step 6: Final answer
    x = 3,754,676,578.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.