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Finding the Third Proportional to 1,614,470,612 and 2,527,087,455

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Solution

The third proportional to 1,614,470,612 and 2,527,087,455 is: 3,955,582,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,470,612 : 2,527,087,455 = 2,527,087,455 : x
  2. Step 2: Convert to fraction form
    1,614,470,612/2,527,087,455 = 2,527,087,455/x
  3. Step 3: Cross multiply
    1,614,470,612x = 2,527,087,455 × 2,527,087,455
  4. Step 4: Simplify right side
    1,614,470,612x = 6,386,171,005,218,376,704
  5. Step 5: Solve for x
    x = 6,386,171,005,218,376,704/1,614,470,612
  6. Step 6: Final answer
    x = 3,955,582,069.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.