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Finding the Third Proportional to 30,535,298 and 65,853,188

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Solution

The third proportional to 30,535,298 and 65,853,188 is: 142,020,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535,298 : 65,853,188 = 65,853,188 : x
  2. Step 2: Convert to fraction form
    30,535,298/65,853,188 = 65,853,188/x
  3. Step 3: Cross multiply
    30,535,298x = 65,853,188 × 65,853,188
  4. Step 4: Simplify right side
    30,535,298x = 4,336,642,369,763,344
  5. Step 5: Solve for x
    x = 4,336,642,369,763,344/30,535,298
  6. Step 6: Final answer
    x = 142,020,633.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.