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Finding the Third Proportional to 9,506,949 and 14,050,758

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Solution

The third proportional to 9,506,949 and 14,050,758 is: 20,766,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506,949 : 14,050,758 = 14,050,758 : x
  2. Step 2: Convert to fraction form
    9,506,949/14,050,758 = 14,050,758/x
  3. Step 3: Cross multiply
    9,506,949x = 14,050,758 × 14,050,758
  4. Step 4: Simplify right side
    9,506,949x = 197,423,800,374,564
  5. Step 5: Solve for x
    x = 197,423,800,374,564/9,506,949
  6. Step 6: Final answer
    x = 20,766,262.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.