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Finding the Third Proportional to 10,461,229 and 22,573,882

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Solution

The third proportional to 10,461,229 and 22,573,882 is: 48,711,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,229 : 22,573,882 = 22,573,882 : x
  2. Step 2: Convert to fraction form
    10,461,229/22,573,882 = 22,573,882/x
  3. Step 3: Cross multiply
    10,461,229x = 22,573,882 × 22,573,882
  4. Step 4: Simplify right side
    10,461,229x = 509,580,148,549,924
  5. Step 5: Solve for x
    x = 509,580,148,549,924/10,461,229
  6. Step 6: Final answer
    x = 48,711,308.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.