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Finding the Third Proportional to 357,257,727.75 and 773,880,633.75

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Solution

The third proportional to 357,257,727.75 and 773,880,633.75 is: 1,676,356,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257,727.75 : 773,880,633.75 = 773,880,633.75 : x
  2. Step 2: Convert to fraction form
    357,257,727.75/773,880,633.75 = 773,880,633.75/x
  3. Step 3: Cross multiply
    357,257,727.75x = 773,880,633.75 × 773,880,633.75
  4. Step 4: Simplify right side
    357,257,727.75x = 598,891,235,293,301,632
  5. Step 5: Solve for x
    x = 598,891,235,293,301,632/357,257,727.75
  6. Step 6: Final answer
    x = 1,676,356,279.44

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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.