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Finding the Third Proportional to 581,678,290 and 1,272,811,700

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Solution

The third proportional to 581,678,290 and 1,272,811,700 is: 2,785,129,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,678,290 : 1,272,811,700 = 1,272,811,700 : x
  2. Step 2: Convert to fraction form
    581,678,290/1,272,811,700 = 1,272,811,700/x
  3. Step 3: Cross multiply
    581,678,290x = 1,272,811,700 × 1,272,811,700
  4. Step 4: Simplify right side
    581,678,290x = 1,620,049,623,656,890,112
  5. Step 5: Solve for x
    x = 1,620,049,623,656,890,112/581,678,290
  6. Step 6: Final answer
    x = 2,785,129,944.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.