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Finding the Third Proportional to 7,181,210 and 15,713,716

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Solution

The third proportional to 7,181,210 and 15,713,716 is: 34,384,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181,210 : 15,713,716 = 15,713,716 : x
  2. Step 2: Convert to fraction form
    7,181,210/15,713,716 = 15,713,716/x
  3. Step 3: Cross multiply
    7,181,210x = 15,713,716 × 15,713,716
  4. Step 4: Simplify right side
    7,181,210x = 246,920,870,528,656
  5. Step 5: Solve for x
    x = 246,920,870,528,656/7,181,210
  6. Step 6: Final answer
    x = 34,384,298.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.