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Finding the Third Proportional to 6,506,514 and 14,133,089

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Solution

The third proportional to 6,506,514 and 14,133,089 is: 30,699,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,514 : 14,133,089 = 14,133,089 : x
  2. Step 2: Convert to fraction form
    6,506,514/14,133,089 = 14,133,089/x
  3. Step 3: Cross multiply
    6,506,514x = 14,133,089 × 14,133,089
  4. Step 4: Simplify right side
    6,506,514x = 199,744,204,681,921
  5. Step 5: Solve for x
    x = 199,744,204,681,921/6,506,514
  6. Step 6: Final answer
    x = 30,699,112.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.