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Finding the Third Proportional to 5,005,506,747 and 7,572,682,566

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Solution

The third proportional to 5,005,506,747 and 7,572,682,566 is: 11,456,486,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005,506,747 : 7,572,682,566 = 7,572,682,566 : x
  2. Step 2: Convert to fraction form
    5,005,506,747/7,572,682,566 = 7,572,682,566/x
  3. Step 3: Cross multiply
    5,005,506,747x = 7,572,682,566 × 7,572,682,566
  4. Step 4: Simplify right side
    5,005,506,747x = 57,345,521,245,400,342,528
  5. Step 5: Solve for x
    x = 57,345,521,245,400,342,528/5,005,506,747
  6. Step 6: Final answer
    x = 11,456,486,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.