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Finding the Third Proportional to 2,658,733,218 and 6,154,486,290

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Solution

The third proportional to 2,658,733,218 and 6,154,486,290 is: 14,246,522,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,733,218 : 6,154,486,290 = 6,154,486,290 : x
  2. Step 2: Convert to fraction form
    2,658,733,218/6,154,486,290 = 6,154,486,290/x
  3. Step 3: Cross multiply
    2,658,733,218x = 6,154,486,290 × 6,154,486,290
  4. Step 4: Simplify right side
    2,658,733,218x = 37,877,701,493,797,961,728
  5. Step 5: Solve for x
    x = 37,877,701,493,797,961,728/2,658,733,218
  6. Step 6: Final answer
    x = 14,246,522,079.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.