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Finding the Third Proportional to 44,926,112 and 97,025,440

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Solution

The third proportional to 44,926,112 and 97,025,440 is: 209,542,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,926,112 : 97,025,440 = 97,025,440 : x
  2. Step 2: Convert to fraction form
    44,926,112/97,025,440 = 97,025,440/x
  3. Step 3: Cross multiply
    44,926,112x = 97,025,440 × 97,025,440
  4. Step 4: Simplify right side
    44,926,112x = 9,413,936,007,193,600
  5. Step 5: Solve for x
    x = 9,413,936,007,193,600/44,926,112
  6. Step 6: Final answer
    x = 209,542,637.64

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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.