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Finding the Third Proportional to 764,216,775 and 1,666,778,376

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Solution

The third proportional to 764,216,775 and 1,666,778,376 is: 3,635,290,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,216,775 : 1,666,778,376 = 1,666,778,376 : x
  2. Step 2: Convert to fraction form
    764,216,775/1,666,778,376 = 1,666,778,376/x
  3. Step 3: Cross multiply
    764,216,775x = 1,666,778,376 × 1,666,778,376
  4. Step 4: Simplify right side
    764,216,775x = 2,778,150,154,701,197,312
  5. Step 5: Solve for x
    x = 2,778,150,154,701,197,312/764,216,775
  6. Step 6: Final answer
    x = 3,635,290,725.86

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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.