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Finding the Third Proportional to 278,034,155 and 599,126,338

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Solution

The third proportional to 278,034,155 and 599,126,338 is: 1,291,036,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,034,155 : 599,126,338 = 599,126,338 : x
  2. Step 2: Convert to fraction form
    278,034,155/599,126,338 = 599,126,338/x
  3. Step 3: Cross multiply
    278,034,155x = 599,126,338 × 599,126,338
  4. Step 4: Simplify right side
    278,034,155x = 358,952,368,885,290,240
  5. Step 5: Solve for x
    x = 358,952,368,885,290,240/278,034,155
  6. Step 6: Final answer
    x = 1,291,036,955.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.