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Finding the Third Proportional to 83,974,534,604 and 185,065,754,200

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Solution

The third proportional to 83,974,534,604 and 185,065,754,200 is: 407,853,804,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974,534,604 : 185,065,754,200 = 185,065,754,200 : x
  2. Step 2: Convert to fraction form
    83,974,534,604/185,065,754,200 = 185,065,754,200/x
  3. Step 3: Cross multiply
    83,974,534,604x = 185,065,754,200 × 185,065,754,200
  4. Step 4: Simplify right side
    83,974,534,604x = 34,249,333,377,614,817,001,472
  5. Step 5: Solve for x
    x = 34,249,333,377,614,817,001,472/83,974,534,604
  6. Step 6: Final answer
    x = 407,853,804,002.90

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Why These Related Problems?

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