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Finding the Third Proportional to 564,905,236 and 1,218,987,368

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Solution

The third proportional to 564,905,236 and 1,218,987,368 is: 2,630,406,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,905,236 : 1,218,987,368 = 1,218,987,368 : x
  2. Step 2: Convert to fraction form
    564,905,236/1,218,987,368 = 1,218,987,368/x
  3. Step 3: Cross multiply
    564,905,236x = 1,218,987,368 × 1,218,987,368
  4. Step 4: Simplify right side
    564,905,236x = 1,485,930,203,343,567,360
  5. Step 5: Solve for x
    x = 1,485,930,203,343,567,360/564,905,236
  6. Step 6: Final answer
    x = 2,630,406,143.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.