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Finding the Third Proportional to 30,427,416 and 67,657,968

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Solution

The third proportional to 30,427,416 and 67,657,968 is: 150,443,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427,416 : 67,657,968 = 67,657,968 : x
  2. Step 2: Convert to fraction form
    30,427,416/67,657,968 = 67,657,968/x
  3. Step 3: Cross multiply
    30,427,416x = 67,657,968 × 67,657,968
  4. Step 4: Simplify right side
    30,427,416x = 4,577,600,633,889,024
  5. Step 5: Solve for x
    x = 4,577,600,633,889,024/30,427,416
  6. Step 6: Final answer
    x = 150,443,292.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.