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Finding the Third Proportional to 27,908,308,202 and 42,897,070,629

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Solution

The third proportional to 27,908,308,202 and 42,897,070,629 is: 65,935,873,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908,308,202 : 42,897,070,629 = 42,897,070,629 : x
  2. Step 2: Convert to fraction form
    27,908,308,202/42,897,070,629 = 42,897,070,629/x
  3. Step 3: Cross multiply
    27,908,308,202x = 42,897,070,629 × 42,897,070,629
  4. Step 4: Simplify right side
    27,908,308,202x = 1,840,158,668,549,414,453,248
  5. Step 5: Solve for x
    x = 1,840,158,668,549,414,453,248/27,908,308,202
  6. Step 6: Final answer
    x = 65,935,873,118.15

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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.