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Finding the Third Proportional to 1,614,470,614 and 2,527,087,458

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Solution

The third proportional to 1,614,470,614 and 2,527,087,458 is: 3,955,582,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,470,614 : 2,527,087,458 = 2,527,087,458 : x
  2. Step 2: Convert to fraction form
    1,614,470,614/2,527,087,458 = 2,527,087,458/x
  3. Step 3: Cross multiply
    1,614,470,614x = 2,527,087,458 × 2,527,087,458
  4. Step 4: Simplify right side
    1,614,470,614x = 6,386,171,020,380,901,376
  5. Step 5: Solve for x
    x = 6,386,171,020,380,901,376/1,614,470,614
  6. Step 6: Final answer
    x = 3,955,582,074.40

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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.