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Finding the Third Proportional to 22,462,701 and 32,099,721

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Solution

The third proportional to 22,462,701 and 32,099,721 is: 45,871,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462,701 : 32,099,721 = 32,099,721 : x
  2. Step 2: Convert to fraction form
    22,462,701/32,099,721 = 32,099,721/x
  3. Step 3: Cross multiply
    22,462,701x = 32,099,721 × 32,099,721
  4. Step 4: Simplify right side
    22,462,701x = 1,030,392,088,277,841
  5. Step 5: Solve for x
    x = 1,030,392,088,277,841/22,462,701
  6. Step 6: Final answer
    x = 45,871,246.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.