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Finding the Third Proportional to 10,101,806.16 and 15,404,920.45

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Solution

The third proportional to 10,101,806.16 and 15,404,920.45 is: 23,491,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,806.16 : 15,404,920.45 = 15,404,920.45 : x
  2. Step 2: Convert to fraction form
    10,101,806.16/15,404,920.45 = 15,404,920.45/x
  3. Step 3: Cross multiply
    10,101,806.16x = 15,404,920.45 × 15,404,920.45
  4. Step 4: Simplify right side
    10,101,806.16x = 237,311,574,167,108.97
  5. Step 5: Solve for x
    x = 237,311,574,167,108.97/10,101,806.16
  6. Step 6: Final answer
    x = 23,491,994.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.