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Finding the Third Proportional to 27,908,308,200 and 42,897,070,626

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Solution

The third proportional to 27,908,308,200 and 42,897,070,626 is: 65,935,873,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908,308,200 : 42,897,070,626 = 42,897,070,626 : x
  2. Step 2: Convert to fraction form
    27,908,308,200/42,897,070,626 = 42,897,070,626/x
  3. Step 3: Cross multiply
    27,908,308,200x = 42,897,070,626 × 42,897,070,626
  4. Step 4: Simplify right side
    27,908,308,200x = 1,840,158,668,292,032,036,864
  5. Step 5: Solve for x
    x = 1,840,158,668,292,032,036,864/27,908,308,200
  6. Step 6: Final answer
    x = 65,935,873,113.66

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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.