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Finding the Third Proportional to 7,849,702 and 11,516,210

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Solution

The third proportional to 7,849,702 and 11,516,210 is: 16,895,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,702 : 11,516,210 = 11,516,210 : x
  2. Step 2: Convert to fraction form
    7,849,702/11,516,210 = 11,516,210/x
  3. Step 3: Cross multiply
    7,849,702x = 11,516,210 × 11,516,210
  4. Step 4: Simplify right side
    7,849,702x = 132,623,092,764,100
  5. Step 5: Solve for x
    x = 132,623,092,764,100/7,849,702
  6. Step 6: Final answer
    x = 16,895,302.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.