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Finding the Third Proportional to 40,533,039,330 and 84,420,973,691.50

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Solution

The third proportional to 40,533,039,330 and 84,420,973,691.50 is: 175,829,420,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,533,039,330 : 84,420,973,691.50 = 84,420,973,691.50 : x
  2. Step 2: Convert to fraction form
    40,533,039,330/84,420,973,691.50 = 84,420,973,691.50/x
  3. Step 3: Cross multiply
    40,533,039,330x = 84,420,973,691.50 × 84,420,973,691.50
  4. Step 4: Simplify right side
    40,533,039,330x = 7,126,900,799,020,934,889,472
  5. Step 5: Solve for x
    x = 7,126,900,799,020,934,889,472/40,533,039,330
  6. Step 6: Final answer
    x = 175,829,420,068.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.