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Finding the Third Proportional to 281,155,275 and 610,670,034

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Solution

The third proportional to 281,155,275 and 610,670,034 is: 1,326,377,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,155,275 : 610,670,034 = 610,670,034 : x
  2. Step 2: Convert to fraction form
    281,155,275/610,670,034 = 610,670,034/x
  3. Step 3: Cross multiply
    281,155,275x = 610,670,034 × 610,670,034
  4. Step 4: Simplify right side
    281,155,275x = 372,917,890,425,561,152
  5. Step 5: Solve for x
    x = 372,917,890,425,561,152/281,155,275
  6. Step 6: Final answer
    x = 1,326,377,000.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.