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Finding the Third Proportional to 30,559,744 and 66,158,336

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Solution

The third proportional to 30,559,744 and 66,158,336 is: 143,225,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559,744 : 66,158,336 = 66,158,336 : x
  2. Step 2: Convert to fraction form
    30,559,744/66,158,336 = 66,158,336/x
  3. Step 3: Cross multiply
    30,559,744x = 66,158,336 × 66,158,336
  4. Step 4: Simplify right side
    30,559,744x = 4,376,925,422,288,896
  5. Step 5: Solve for x
    x = 4,376,925,422,288,896/30,559,744
  6. Step 6: Final answer
    x = 143,225,199.21

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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.