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Finding the Third Proportional to 9,367,499 and 19,971,746

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Solution

The third proportional to 9,367,499 and 19,971,746 is: 42,580,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367,499 : 19,971,746 = 19,971,746 : x
  2. Step 2: Convert to fraction form
    9,367,499/19,971,746 = 19,971,746/x
  3. Step 3: Cross multiply
    9,367,499x = 19,971,746 × 19,971,746
  4. Step 4: Simplify right side
    9,367,499x = 398,870,638,288,516
  5. Step 5: Solve for x
    x = 398,870,638,288,516/9,367,499
  6. Step 6: Final answer
    x = 42,580,270.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.