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Finding the Third Proportional to 5,787,972 and 12,572,352

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Solution

The third proportional to 5,787,972 and 12,572,352 is: 27,309,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,972 : 12,572,352 = 12,572,352 : x
  2. Step 2: Convert to fraction form
    5,787,972/12,572,352 = 12,572,352/x
  3. Step 3: Cross multiply
    5,787,972x = 12,572,352 × 12,572,352
  4. Step 4: Simplify right side
    5,787,972x = 158,064,034,811,904
  5. Step 5: Solve for x
    x = 158,064,034,811,904/5,787,972
  6. Step 6: Final answer
    x = 27,309,053.12

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Why These Related Problems?

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