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Finding the Third Proportional to 49,506,009 and 107,531,541

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Solution

The third proportional to 49,506,009 and 107,531,541 is: 233,568,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,506,009 : 107,531,541 = 107,531,541 : x
  2. Step 2: Convert to fraction form
    49,506,009/107,531,541 = 107,531,541/x
  3. Step 3: Cross multiply
    49,506,009x = 107,531,541 × 107,531,541
  4. Step 4: Simplify right side
    49,506,009x = 11,563,032,309,834,680
  5. Step 5: Solve for x
    x = 11,563,032,309,834,680/49,506,009
  6. Step 6: Final answer
    x = 233,568,258.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.