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Finding the Third Proportional to 30,867,532 and 45,377,654

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Solution

The third proportional to 30,867,532 and 45,377,654 is: 66,708,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867,532 : 45,377,654 = 45,377,654 : x
  2. Step 2: Convert to fraction form
    30,867,532/45,377,654 = 45,377,654/x
  3. Step 3: Cross multiply
    30,867,532x = 45,377,654 × 45,377,654
  4. Step 4: Simplify right side
    30,867,532x = 2,059,131,482,543,716
  5. Step 5: Solve for x
    x = 2,059,131,482,543,716/30,867,532
  6. Step 6: Final answer
    x = 66,708,653.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.