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Finding the Third Proportional to 564,948,792 and 1,197,101,178

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Solution

The third proportional to 564,948,792 and 1,197,101,178 is: 2,536,603,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,948,792 : 1,197,101,178 = 1,197,101,178 : x
  2. Step 2: Convert to fraction form
    564,948,792/1,197,101,178 = 1,197,101,178/x
  3. Step 3: Cross multiply
    564,948,792x = 1,197,101,178 × 1,197,101,178
  4. Step 4: Simplify right side
    564,948,792x = 1,433,051,230,368,987,648
  5. Step 5: Solve for x
    x = 1,433,051,230,368,987,648/564,948,792
  6. Step 6: Final answer
    x = 2,536,603,760.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.