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Finding the Third Proportional to 930,919,854 and 2,025,281,446.50

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Solution

The third proportional to 930,919,854 and 2,025,281,446.50 is: 4,406,141,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,919,854 : 2,025,281,446.50 = 2,025,281,446.50 : x
  2. Step 2: Convert to fraction form
    930,919,854/2,025,281,446.50 = 2,025,281,446.50/x
  3. Step 3: Cross multiply
    930,919,854x = 2,025,281,446.50 × 2,025,281,446.50
  4. Step 4: Simplify right side
    930,919,854x = 4,101,764,937,537,132,544
  5. Step 5: Solve for x
    x = 4,101,764,937,537,132,544/930,919,854
  6. Step 6: Final answer
    x = 4,406,141,860.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.