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Finding the Third Proportional to 10,649,253 and 22,973,748

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Solution

The third proportional to 10,649,253 and 22,973,748 is: 49,561,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,253 : 22,973,748 = 22,973,748 : x
  2. Step 2: Convert to fraction form
    10,649,253/22,973,748 = 22,973,748/x
  3. Step 3: Cross multiply
    10,649,253x = 22,973,748 × 22,973,748
  4. Step 4: Simplify right side
    10,649,253x = 527,793,097,167,504
  5. Step 5: Solve for x
    x = 527,793,097,167,504/10,649,253
  6. Step 6: Final answer
    x = 49,561,513.58

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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.