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Finding the Third Proportional to 6,712,654,468 and 10,530,174,102

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Solution

The third proportional to 6,712,654,468 and 10,530,174,102 is: 16,518,735,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712,654,468 : 10,530,174,102 = 10,530,174,102 : x
  2. Step 2: Convert to fraction form
    6,712,654,468/10,530,174,102 = 10,530,174,102/x
  3. Step 3: Cross multiply
    6,712,654,468x = 10,530,174,102 × 10,530,174,102
  4. Step 4: Simplify right side
    6,712,654,468x = 110,884,566,618,431,504,384
  5. Step 5: Solve for x
    x = 110,884,566,618,431,504,384/6,712,654,468
  6. Step 6: Final answer
    x = 16,518,735,940.76

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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.