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Finding the Third Proportional to 7,849,704 and 11,516,213

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Solution

The third proportional to 7,849,704 and 11,516,213 is: 16,895,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,704 : 11,516,213 = 11,516,213 : x
  2. Step 2: Convert to fraction form
    7,849,704/11,516,213 = 11,516,213/x
  3. Step 3: Cross multiply
    7,849,704x = 11,516,213 × 11,516,213
  4. Step 4: Simplify right side
    7,849,704x = 132,623,161,861,369
  5. Step 5: Solve for x
    x = 132,623,161,861,369/7,849,704
  6. Step 6: Final answer
    x = 16,895,307.37

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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.