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Finding the Third Proportional to 10,365,886 and 22,554,909

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Solution

The third proportional to 10,365,886 and 22,554,909 is: 49,076,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,886 : 22,554,909 = 22,554,909 : x
  2. Step 2: Convert to fraction form
    10,365,886/22,554,909 = 22,554,909/x
  3. Step 3: Cross multiply
    10,365,886x = 22,554,909 × 22,554,909
  4. Step 4: Simplify right side
    10,365,886x = 508,723,919,998,281
  5. Step 5: Solve for x
    x = 508,723,919,998,281/10,365,886
  6. Step 6: Final answer
    x = 49,076,742.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.