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Finding the Third Proportional to 4,488,920.02 and 6,964,951.43

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Solution

The third proportional to 4,488,920.02 and 6,964,951.43 is: 10,806,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,920.02 : 6,964,951.43 = 6,964,951.43 : x
  2. Step 2: Convert to fraction form
    4,488,920.02/6,964,951.43 = 6,964,951.43/x
  3. Step 3: Cross multiply
    4,488,920.02x = 6,964,951.43 × 6,964,951.43
  4. Step 4: Simplify right side
    4,488,920.02x = 48,510,548,417,905.95
  5. Step 5: Solve for x
    x = 48,510,548,417,905.95/4,488,920.02
  6. Step 6: Final answer
    x = 10,806,730.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.