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Finding the Third Proportional to 6,542,822 and 9,931,971

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Solution

The third proportional to 6,542,822 and 9,931,971 is: 15,076,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542,822 : 9,931,971 = 9,931,971 : x
  2. Step 2: Convert to fraction form
    6,542,822/9,931,971 = 9,931,971/x
  3. Step 3: Cross multiply
    6,542,822x = 9,931,971 × 9,931,971
  4. Step 4: Simplify right side
    6,542,822x = 98,644,047,944,841
  5. Step 5: Solve for x
    x = 98,644,047,944,841/6,542,822
  6. Step 6: Final answer
    x = 15,076,682.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.