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Finding the Third Proportional to 7,713,740 and 16,452,637

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Solution

The third proportional to 7,713,740 and 16,452,637 is: 35,091,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713,740 : 16,452,637 = 16,452,637 : x
  2. Step 2: Convert to fraction form
    7,713,740/16,452,637 = 16,452,637/x
  3. Step 3: Cross multiply
    7,713,740x = 16,452,637 × 16,452,637
  4. Step 4: Simplify right side
    7,713,740x = 270,689,264,253,769
  5. Step 5: Solve for x
    x = 270,689,264,253,769/7,713,740
  6. Step 6: Final answer
    x = 35,091,831.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.