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Finding the Third Proportional to 10,461,184 and 22,573,794

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Solution

The third proportional to 10,461,184 and 22,573,794 is: 48,711,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,184 : 22,573,794 = 22,573,794 : x
  2. Step 2: Convert to fraction form
    10,461,184/22,573,794 = 22,573,794/x
  3. Step 3: Cross multiply
    10,461,184x = 22,573,794 × 22,573,794
  4. Step 4: Simplify right side
    10,461,184x = 509,576,175,554,436
  5. Step 5: Solve for x
    x = 509,576,175,554,436/10,461,184
  6. Step 6: Final answer
    x = 48,711,137.82

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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.