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Finding the Third Proportional to 27,908,308,198 and 42,897,070,623

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Solution

The third proportional to 27,908,308,198 and 42,897,070,623 is: 65,935,873,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908,308,198 : 42,897,070,623 = 42,897,070,623 : x
  2. Step 2: Convert to fraction form
    27,908,308,198/42,897,070,623 = 42,897,070,623/x
  3. Step 3: Cross multiply
    27,908,308,198x = 42,897,070,623 × 42,897,070,623
  4. Step 4: Simplify right side
    27,908,308,198x = 1,840,158,668,034,649,620,480
  5. Step 5: Solve for x
    x = 1,840,158,668,034,649,620,480/27,908,308,198
  6. Step 6: Final answer
    x = 65,935,873,109.16

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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.