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Finding the Third Proportional to 7,713,742 and 16,452,641

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Solution

The third proportional to 7,713,742 and 16,452,641 is: 35,091,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713,742 : 16,452,641 = 16,452,641 : x
  2. Step 2: Convert to fraction form
    7,713,742/16,452,641 = 16,452,641/x
  3. Step 3: Cross multiply
    7,713,742x = 16,452,641 × 16,452,641
  4. Step 4: Simplify right side
    7,713,742x = 270,689,395,874,881
  5. Step 5: Solve for x
    x = 270,689,395,874,881/7,713,742
  6. Step 6: Final answer
    x = 35,091,839.46

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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.