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Finding the Third Proportional to 31,086,001,356 and 47,751,900,444

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Solution

The third proportional to 31,086,001,356 and 47,751,900,444 is: 73,352,759,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086,001,356 : 47,751,900,444 = 47,751,900,444 : x
  2. Step 2: Convert to fraction form
    31,086,001,356/47,751,900,444 = 47,751,900,444/x
  3. Step 3: Cross multiply
    31,086,001,356x = 47,751,900,444 × 47,751,900,444
  4. Step 4: Simplify right side
    31,086,001,356x = 2,280,243,996,013,687,472,128
  5. Step 5: Solve for x
    x = 2,280,243,996,013,687,472,128/31,086,001,356
  6. Step 6: Final answer
    x = 73,352,759,973.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.