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Finding the Third Proportional to 24,778,806.19 and 53,144,839.13

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Solution

The third proportional to 24,778,806.19 and 53,144,839.13 is: 113,983,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778,806.19 : 53,144,839.13 = 53,144,839.13 : x
  2. Step 2: Convert to fraction form
    24,778,806.19/53,144,839.13 = 53,144,839.13/x
  3. Step 3: Cross multiply
    24,778,806.19x = 53,144,839.13 × 53,144,839.13
  4. Step 4: Simplify right side
    24,778,806.19x = 2,824,373,925,622,131
  5. Step 5: Solve for x
    x = 2,824,373,925,622,131/24,778,806.19
  6. Step 6: Final answer
    x = 113,983,454.42

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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.