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Finding the Third Proportional to 30,434,073 and 61,931,007

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Solution

The third proportional to 30,434,073 and 61,931,007 is: 126,024,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434,073 : 61,931,007 = 61,931,007 : x
  2. Step 2: Convert to fraction form
    30,434,073/61,931,007 = 61,931,007/x
  3. Step 3: Cross multiply
    30,434,073x = 61,931,007 × 61,931,007
  4. Step 4: Simplify right side
    30,434,073x = 3,835,449,628,034,049
  5. Step 5: Solve for x
    x = 3,835,449,628,034,049/30,434,073
  6. Step 6: Final answer
    x = 126,024,854.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.