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Finding the Third Proportional to 10,016,958 and 14,966,470.50

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Solution

The third proportional to 10,016,958 and 14,966,470.50 is: 22,361,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016,958 : 14,966,470.50 = 14,966,470.50 : x
  2. Step 2: Convert to fraction form
    10,016,958/14,966,470.50 = 14,966,470.50/x
  3. Step 3: Cross multiply
    10,016,958x = 14,966,470.50 × 14,966,470.50
  4. Step 4: Simplify right side
    10,016,958x = 223,995,239,227,370.25
  5. Step 5: Solve for x
    x = 223,995,239,227,370.25/10,016,958
  6. Step 6: Final answer
    x = 22,361,603.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.