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Finding the Third Proportional to 520,385,501 and 1,136,130,471

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Solution

The third proportional to 520,385,501 and 1,136,130,471 is: 2,480,454,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,385,501 : 1,136,130,471 = 1,136,130,471 : x
  2. Step 2: Convert to fraction form
    520,385,501/1,136,130,471 = 1,136,130,471/x
  3. Step 3: Cross multiply
    520,385,501x = 1,136,130,471 × 1,136,130,471
  4. Step 4: Simplify right side
    520,385,501x = 1,290,792,447,134,681,856
  5. Step 5: Solve for x
    x = 1,290,792,447,134,681,856/520,385,501
  6. Step 6: Final answer
    x = 2,480,454,287.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.