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Finding the Third Proportional to 7,292,106 and 15,896,340

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Solution

The third proportional to 7,292,106 and 15,896,340 is: 34,653,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292,106 : 15,896,340 = 15,896,340 : x
  2. Step 2: Convert to fraction form
    7,292,106/15,896,340 = 15,896,340/x
  3. Step 3: Cross multiply
    7,292,106x = 15,896,340 × 15,896,340
  4. Step 4: Simplify right side
    7,292,106x = 252,693,625,395,600
  5. Step 5: Solve for x
    x = 252,693,625,395,600/7,292,106
  6. Step 6: Final answer
    x = 34,653,037.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.