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Finding the Third Proportional to 10,770,582 and 23,054,460

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Solution

The third proportional to 10,770,582 and 23,054,460 is: 49,348,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770,582 : 23,054,460 = 23,054,460 : x
  2. Step 2: Convert to fraction form
    10,770,582/23,054,460 = 23,054,460/x
  3. Step 3: Cross multiply
    10,770,582x = 23,054,460 × 23,054,460
  4. Step 4: Simplify right side
    10,770,582x = 531,508,125,891,600
  5. Step 5: Solve for x
    x = 531,508,125,891,600/10,770,582
  6. Step 6: Final answer
    x = 49,348,134.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.