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Finding the Third Proportional to 22,771,663 and 49,586,541

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Solution

The third proportional to 22,771,663 and 49,586,541 is: 107,977,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771,663 : 49,586,541 = 49,586,541 : x
  2. Step 2: Convert to fraction form
    22,771,663/49,586,541 = 49,586,541/x
  3. Step 3: Cross multiply
    22,771,663x = 49,586,541 × 49,586,541
  4. Step 4: Simplify right side
    22,771,663x = 2,458,825,048,344,681
  5. Step 5: Solve for x
    x = 2,458,825,048,344,681/22,771,663
  6. Step 6: Final answer
    x = 107,977,403.69

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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.