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Finding the Third Proportional to 5,039,315 and 7,756,214

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Solution

The third proportional to 5,039,315 and 7,756,214 is: 11,937,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039,315 : 7,756,214 = 7,756,214 : x
  2. Step 2: Convert to fraction form
    5,039,315/7,756,214 = 7,756,214/x
  3. Step 3: Cross multiply
    5,039,315x = 7,756,214 × 7,756,214
  4. Step 4: Simplify right side
    5,039,315x = 60,158,855,613,796
  5. Step 5: Solve for x
    x = 60,158,855,613,796/5,039,315
  6. Step 6: Final answer
    x = 11,937,903.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.