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Finding the Third Proportional to 9,658,356 and 20,468,160

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Solution

The third proportional to 9,658,356 and 20,468,160 is: 43,376,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658,356 : 20,468,160 = 20,468,160 : x
  2. Step 2: Convert to fraction form
    9,658,356/20,468,160 = 20,468,160/x
  3. Step 3: Cross multiply
    9,658,356x = 20,468,160 × 20,468,160
  4. Step 4: Simplify right side
    9,658,356x = 418,945,573,785,600
  5. Step 5: Solve for x
    x = 418,945,573,785,600/9,658,356
  6. Step 6: Final answer
    x = 43,376,489.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.