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Finding the Third Proportional to 10,516,959.84 and 16,155,337.78

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Solution

The third proportional to 10,516,959.84 and 16,155,337.78 is: 24,816,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516,959.84 : 16,155,337.78 = 16,155,337.78 : x
  2. Step 2: Convert to fraction form
    10,516,959.84/16,155,337.78 = 16,155,337.78/x
  3. Step 3: Cross multiply
    10,516,959.84x = 16,155,337.78 × 16,155,337.78
  4. Step 4: Simplify right side
    10,516,959.84x = 260,994,938,826,283.69
  5. Step 5: Solve for x
    x = 260,994,938,826,283.69/10,516,959.84
  6. Step 6: Final answer
    x = 24,816,576.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.