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Finding the Third Proportional to 7,509,866 and 15,417,850

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Solution

The third proportional to 7,509,866 and 15,417,850 is: 31,653,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,866 : 15,417,850 = 15,417,850 : x
  2. Step 2: Convert to fraction form
    7,509,866/15,417,850 = 15,417,850/x
  3. Step 3: Cross multiply
    7,509,866x = 15,417,850 × 15,417,850
  4. Step 4: Simplify right side
    7,509,866x = 237,710,098,622,500
  5. Step 5: Solve for x
    x = 237,710,098,622,500/7,509,866
  6. Step 6: Final answer
    x = 31,653,041.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.