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Finding the Third Proportional to 83,974,534,159 and 185,065,753,260

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Solution

The third proportional to 83,974,534,159 and 185,065,753,260 is: 407,853,802,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974,534,159 : 185,065,753,260 = 185,065,753,260 : x
  2. Step 2: Convert to fraction form
    83,974,534,159/185,065,753,260 = 185,065,753,260/x
  3. Step 3: Cross multiply
    83,974,534,159x = 185,065,753,260 × 185,065,753,260
  4. Step 4: Simplify right side
    83,974,534,159x = 34,249,333,029,691,201,683,456
  5. Step 5: Solve for x
    x = 34,249,333,029,691,201,683,456/83,974,534,159
  6. Step 6: Final answer
    x = 407,853,802,021.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.