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Finding the Third Proportional to 5,767,524 and 12,525,248.63

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Solution

The third proportional to 5,767,524 and 12,525,248.63 is: 27,200,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767,524 : 12,525,248.63 = 12,525,248.63 : x
  2. Step 2: Convert to fraction form
    5,767,524/12,525,248.63 = 12,525,248.63/x
  3. Step 3: Cross multiply
    5,767,524x = 12,525,248.63 × 12,525,248.63
  4. Step 4: Simplify right side
    5,767,524x = 156,881,853,118,064.38
  5. Step 5: Solve for x
    x = 156,881,853,118,064.38/5,767,524
  6. Step 6: Final answer
    x = 27,200,901.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.