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Finding the Third Proportional to 1,535,351,496 and 3,343,312,272

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Solution

The third proportional to 1,535,351,496 and 3,343,312,272 is: 7,280,246,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,351,496 : 3,343,312,272 = 3,343,312,272 : x
  2. Step 2: Convert to fraction form
    1,535,351,496/3,343,312,272 = 3,343,312,272/x
  3. Step 3: Cross multiply
    1,535,351,496x = 3,343,312,272 × 3,343,312,272
  4. Step 4: Simplify right side
    1,535,351,496x = 11,177,736,948,105,801,728
  5. Step 5: Solve for x
    x = 11,177,736,948,105,801,728/1,535,351,496
  6. Step 6: Final answer
    x = 7,280,246,234.97

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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.