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Finding the Third Proportional to 27,908,308,208 and 42,897,070,636

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Solution

The third proportional to 27,908,308,208 and 42,897,070,636 is: 65,935,873,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908,308,208 : 42,897,070,636 = 42,897,070,636 : x
  2. Step 2: Convert to fraction form
    27,908,308,208/42,897,070,636 = 42,897,070,636/x
  3. Step 3: Cross multiply
    27,908,308,208x = 42,897,070,636 × 42,897,070,636
  4. Step 4: Simplify right side
    27,908,308,208x = 1,840,158,669,149,973,512,192
  5. Step 5: Solve for x
    x = 1,840,158,669,149,973,512,192/27,908,308,208
  6. Step 6: Final answer
    x = 65,935,873,125.50

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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.