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Finding the Third Proportional to 32,905,116 and 48,086,298

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Solution

The third proportional to 32,905,116 and 48,086,298 is: 70,271,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905,116 : 48,086,298 = 48,086,298 : x
  2. Step 2: Convert to fraction form
    32,905,116/48,086,298 = 48,086,298/x
  3. Step 3: Cross multiply
    32,905,116x = 48,086,298 × 48,086,298
  4. Step 4: Simplify right side
    32,905,116x = 2,312,292,055,344,804
  5. Step 5: Solve for x
    x = 2,312,292,055,344,804/32,905,116
  6. Step 6: Final answer
    x = 70,271,505.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.