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Finding the Third Proportional to 9,725,704 and 22,513,276

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Solution

The third proportional to 9,725,704 and 22,513,276 is: 52,114,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,704 : 22,513,276 = 22,513,276 : x
  2. Step 2: Convert to fraction form
    9,725,704/22,513,276 = 22,513,276/x
  3. Step 3: Cross multiply
    9,725,704x = 22,513,276 × 22,513,276
  4. Step 4: Simplify right side
    9,725,704x = 506,847,596,252,176
  5. Step 5: Solve for x
    x = 506,847,596,252,176/9,725,704
  6. Step 6: Final answer
    x = 52,114,232.17

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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.