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Finding the Third Proportional to 649,030,143 and 1,396,472,842.50

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Solution

The third proportional to 649,030,143 and 1,396,472,842.50 is: 3,004,693,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,030,143 : 1,396,472,842.50 = 1,396,472,842.50 : x
  2. Step 2: Convert to fraction form
    649,030,143/1,396,472,842.50 = 1,396,472,842.50/x
  3. Step 3: Cross multiply
    649,030,143x = 1,396,472,842.50 × 1,396,472,842.50
  4. Step 4: Simplify right side
    649,030,143x = 1,950,136,399,840,029,696
  5. Step 5: Solve for x
    x = 1,950,136,399,840,029,696/649,030,143
  6. Step 6: Final answer
    x = 3,004,693,111.52

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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.