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Finding the Third Proportional to 6,429,301.59 and 13,753,427.91

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Solution

The third proportional to 6,429,301.59 and 13,753,427.91 is: 29,421,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429,301.59 : 13,753,427.91 = 13,753,427.91 : x
  2. Step 2: Convert to fraction form
    6,429,301.59/13,753,427.91 = 13,753,427.91/x
  3. Step 3: Cross multiply
    6,429,301.59x = 13,753,427.91 × 13,753,427.91
  4. Step 4: Simplify right side
    6,429,301.59x = 189,156,779,172,416.25
  5. Step 5: Solve for x
    x = 189,156,779,172,416.25/6,429,301.59
  6. Step 6: Final answer
    x = 29,421,046.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.