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Finding the Third Proportional to 29,819,972 and 65,223,100

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Solution

The third proportional to 29,819,972 and 65,223,100 is: 142,657,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819,972 : 65,223,100 = 65,223,100 : x
  2. Step 2: Convert to fraction form
    29,819,972/65,223,100 = 65,223,100/x
  3. Step 3: Cross multiply
    29,819,972x = 65,223,100 × 65,223,100
  4. Step 4: Simplify right side
    29,819,972x = 4,254,052,773,610,000
  5. Step 5: Solve for x
    x = 4,254,052,773,610,000/29,819,972
  6. Step 6: Final answer
    x = 142,657,839.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.