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Finding the Third Proportional to 6,298,101 and 10,026,382.50

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Solution

The third proportional to 6,298,101 and 10,026,382.50 is: 15,961,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,101 : 10,026,382.50 = 10,026,382.50 : x
  2. Step 2: Convert to fraction form
    6,298,101/10,026,382.50 = 10,026,382.50/x
  3. Step 3: Cross multiply
    6,298,101x = 10,026,382.50 × 10,026,382.50
  4. Step 4: Simplify right side
    6,298,101x = 100,528,346,036,306.25
  5. Step 5: Solve for x
    x = 100,528,346,036,306.25/6,298,101
  6. Step 6: Final answer
    x = 15,961,691.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.