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Finding the Third Proportional to 6,712,654,612 and 10,530,174,170

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Solution

The third proportional to 6,712,654,612 and 10,530,174,170 is: 16,518,735,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712,654,612 : 10,530,174,170 = 10,530,174,170 : x
  2. Step 2: Convert to fraction form
    6,712,654,612/10,530,174,170 = 10,530,174,170/x
  3. Step 3: Cross multiply
    6,712,654,612x = 10,530,174,170 × 10,530,174,170
  4. Step 4: Simplify right side
    6,712,654,612x = 110,884,568,050,535,186,432
  5. Step 5: Solve for x
    x = 110,884,568,050,535,186,432/6,712,654,612
  6. Step 6: Final answer
    x = 16,518,735,799.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.