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Finding the Third Proportional to 474,737,881,125.80 and 640,532,858,981.30

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Solution

The third proportional to 474,737,881,125.80 and 640,532,858,981.30 is: 864,229,208,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,737,881,125.80 : 640,532,858,981.30 = 640,532,858,981.30 : x
  2. Step 2: Convert to fraction form
    474,737,881,125.80/640,532,858,981.30 = 640,532,858,981.30/x
  3. Step 3: Cross multiply
    474,737,881,125.80x = 640,532,858,981.30 × 640,532,858,981.30
  4. Step 4: Simplify right side
    474,737,881,125.80x = 410,282,343,434,758,024,855,552
  5. Step 5: Solve for x
    x = 410,282,343,434,758,024,855,552/474,737,881,125.80
  6. Step 6: Final answer
    x = 864,229,208,888.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.