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Finding the Third Proportional to 22,462,683 and 32,099,693.63

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Solution

The third proportional to 22,462,683 and 32,099,693.63 is: 45,871,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462,683 : 32,099,693.63 = 32,099,693.63 : x
  2. Step 2: Convert to fraction form
    22,462,683/32,099,693.63 = 32,099,693.63/x
  3. Step 3: Cross multiply
    22,462,683x = 32,099,693.63 × 32,099,693.63
  4. Step 4: Simplify right side
    22,462,683x = 1,030,390,330,818,865.62
  5. Step 5: Solve for x
    x = 1,030,390,330,818,865.62/22,462,683
  6. Step 6: Final answer
    x = 45,871,204.74

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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.