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Finding the Third Proportional to 27,272,684,424 and 63,721,296,759

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Solution

The third proportional to 27,272,684,424 and 63,721,296,759 is: 148,881,701,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272,684,424 : 63,721,296,759 = 63,721,296,759 : x
  2. Step 2: Convert to fraction form
    27,272,684,424/63,721,296,759 = 63,721,296,759/x
  3. Step 3: Cross multiply
    27,272,684,424x = 63,721,296,759 × 63,721,296,759
  4. Step 4: Simplify right side
    27,272,684,424x = 4,060,403,660,648,543,682,560
  5. Step 5: Solve for x
    x = 4,060,403,660,648,543,682,560/27,272,684,424
  6. Step 6: Final answer
    x = 148,881,701,468.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.