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Finding the Third Proportional to 564,905,232 and 1,218,987,360

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Solution

The third proportional to 564,905,232 and 1,218,987,360 is: 2,630,406,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,905,232 : 1,218,987,360 = 1,218,987,360 : x
  2. Step 2: Convert to fraction form
    564,905,232/1,218,987,360 = 1,218,987,360/x
  3. Step 3: Cross multiply
    564,905,232x = 1,218,987,360 × 1,218,987,360
  4. Step 4: Simplify right side
    564,905,232x = 1,485,930,183,839,769,600
  5. Step 5: Solve for x
    x = 1,485,930,183,839,769,600/564,905,232
  6. Step 6: Final answer
    x = 2,630,406,127.73

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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.