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Finding the Third Proportional to 1,028,073,772.13 and 1,566,215,762.06

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Solution

The third proportional to 1,028,073,772.13 and 1,566,215,762.06 is: 2,386,046,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,073,772.13 : 1,566,215,762.06 = 1,566,215,762.06 : x
  2. Step 2: Convert to fraction form
    1,028,073,772.13/1,566,215,762.06 = 1,566,215,762.06/x
  3. Step 3: Cross multiply
    1,028,073,772.13x = 1,566,215,762.06 × 1,566,215,762.06
  4. Step 4: Simplify right side
    1,028,073,772.13x = 2,453,031,813,333,017,600
  5. Step 5: Solve for x
    x = 2,453,031,813,333,017,600/1,028,073,772.13
  6. Step 6: Final answer
    x = 2,386,046,487.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.