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Finding the Third Proportional to 30,532,289 and 65,847,412

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Solution

The third proportional to 30,532,289 and 65,847,412 is: 142,009,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532,289 : 65,847,412 = 65,847,412 : x
  2. Step 2: Convert to fraction form
    30,532,289/65,847,412 = 65,847,412/x
  3. Step 3: Cross multiply
    30,532,289x = 65,847,412 × 65,847,412
  4. Step 4: Simplify right side
    30,532,289x = 4,335,881,667,097,744
  5. Step 5: Solve for x
    x = 4,335,881,667,097,744/30,532,289
  6. Step 6: Final answer
    x = 142,009,715.26

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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.