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Finding the Third Proportional to 10,577,746 and 22,916,179

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Solution

The third proportional to 10,577,746 and 22,916,179 is: 49,646,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577,746 : 22,916,179 = 22,916,179 : x
  2. Step 2: Convert to fraction form
    10,577,746/22,916,179 = 22,916,179/x
  3. Step 3: Cross multiply
    10,577,746x = 22,916,179 × 22,916,179
  4. Step 4: Simplify right side
    10,577,746x = 525,151,259,960,041
  5. Step 5: Solve for x
    x = 525,151,259,960,041/10,577,746
  6. Step 6: Final answer
    x = 49,646,801.88

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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.