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Finding the Third Proportional to 10,697,986.13 and 16,251,554.81

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Solution

The third proportional to 10,697,986.13 and 16,251,554.81 is: 24,688,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697,986.13 : 16,251,554.81 = 16,251,554.81 : x
  2. Step 2: Convert to fraction form
    10,697,986.13/16,251,554.81 = 16,251,554.81/x
  3. Step 3: Cross multiply
    10,697,986.13x = 16,251,554.81 × 16,251,554.81
  4. Step 4: Simplify right side
    10,697,986.13x = 264,113,033,823,691.91
  5. Step 5: Solve for x
    x = 264,113,033,823,691.91/10,697,986.13
  6. Step 6: Final answer
    x = 24,688,107.72

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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.