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Finding the Third Proportional to 30,541,386 and 65,865,012

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Solution

The third proportional to 30,541,386 and 65,865,012 is: 142,043,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541,386 : 65,865,012 = 65,865,012 : x
  2. Step 2: Convert to fraction form
    30,541,386/65,865,012 = 65,865,012/x
  3. Step 3: Cross multiply
    30,541,386x = 65,865,012 × 65,865,012
  4. Step 4: Simplify right side
    30,541,386x = 4,338,199,805,760,144
  5. Step 5: Solve for x
    x = 4,338,199,805,760,144/30,541,386
  6. Step 6: Final answer
    x = 142,043,318.07

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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.