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Finding the Third Proportional to 10,421,604 and 22,625,712

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Solution

The third proportional to 10,421,604 and 22,625,712 is: 49,121,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,604 : 22,625,712 = 22,625,712 : x
  2. Step 2: Convert to fraction form
    10,421,604/22,625,712 = 22,625,712/x
  3. Step 3: Cross multiply
    10,421,604x = 22,625,712 × 22,625,712
  4. Step 4: Simplify right side
    10,421,604x = 511,922,843,506,944
  5. Step 5: Solve for x
    x = 511,922,843,506,944/10,421,604
  6. Step 6: Final answer
    x = 49,121,310.26

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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.