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Finding the Third Proportional to 30,261,691.76 and 64,730,624.77

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Solution

The third proportional to 30,261,691.76 and 64,730,624.77 is: 138,460,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261,691.76 : 64,730,624.77 = 64,730,624.77 : x
  2. Step 2: Convert to fraction form
    30,261,691.76/64,730,624.77 = 64,730,624.77/x
  3. Step 3: Cross multiply
    30,261,691.76x = 64,730,624.77 × 64,730,624.77
  4. Step 4: Simplify right side
    30,261,691.76x = 4,190,053,782,548,144.50
  5. Step 5: Solve for x
    x = 4,190,053,782,548,144.50/30,261,691.76
  6. Step 6: Final answer
    x = 138,460,658.98

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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.