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Finding the Third Proportional to 9,822,944 and 20,663,887

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Solution

The third proportional to 9,822,944 and 20,663,887 is: 43,469,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822,944 : 20,663,887 = 20,663,887 : x
  2. Step 2: Convert to fraction form
    9,822,944/20,663,887 = 20,663,887/x
  3. Step 3: Cross multiply
    9,822,944x = 20,663,887 × 20,663,887
  4. Step 4: Simplify right side
    9,822,944x = 426,996,225,948,769
  5. Step 5: Solve for x
    x = 426,996,225,948,769/9,822,944
  6. Step 6: Final answer
    x = 43,469,272.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.