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Finding the Third Proportional to 10,158,430 and 21,694,548

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Solution

The third proportional to 10,158,430 and 21,694,548 is: 46,331,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158,430 : 21,694,548 = 21,694,548 : x
  2. Step 2: Convert to fraction form
    10,158,430/21,694,548 = 21,694,548/x
  3. Step 3: Cross multiply
    10,158,430x = 21,694,548 × 21,694,548
  4. Step 4: Simplify right side
    10,158,430x = 470,653,412,924,304
  5. Step 5: Solve for x
    x = 470,653,412,924,304/10,158,430
  6. Step 6: Final answer
    x = 46,331,314.28

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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.