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Finding the Third Proportional to 10,262,679.75 and 22,429,689.75

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Solution

The third proportional to 10,262,679.75 and 22,429,689.75 is: 49,021,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262,679.75 : 22,429,689.75 = 22,429,689.75 : x
  2. Step 2: Convert to fraction form
    10,262,679.75/22,429,689.75 = 22,429,689.75/x
  3. Step 3: Cross multiply
    10,262,679.75x = 22,429,689.75 × 22,429,689.75
  4. Step 4: Simplify right side
    10,262,679.75x = 503,090,982,281,255.06
  5. Step 5: Solve for x
    x = 503,090,982,281,255.06/10,262,679.75
  6. Step 6: Final answer
    x = 49,021,405.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.