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Finding the Third Proportional to 9,725,650 and 22,513,141

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Solution

The third proportional to 9,725,650 and 22,513,141 is: 52,113,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,650 : 22,513,141 = 22,513,141 : x
  2. Step 2: Convert to fraction form
    9,725,650/22,513,141 = 22,513,141/x
  3. Step 3: Cross multiply
    9,725,650x = 22,513,141 × 22,513,141
  4. Step 4: Simplify right side
    9,725,650x = 506,841,517,685,881
  5. Step 5: Solve for x
    x = 506,841,517,685,881/9,725,650
  6. Step 6: Final answer
    x = 52,113,896.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.