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Finding the Third Proportional to 344,574,145.50 and 756,098,920.50

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Solution

The third proportional to 344,574,145.50 and 756,098,920.50 is: 1,659,107,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,574,145.50 : 756,098,920.50 = 756,098,920.50 : x
  2. Step 2: Convert to fraction form
    344,574,145.50/756,098,920.50 = 756,098,920.50/x
  3. Step 3: Cross multiply
    344,574,145.50x = 756,098,920.50 × 756,098,920.50
  4. Step 4: Simplify right side
    344,574,145.50x = 571,685,577,581,265,344
  5. Step 5: Solve for x
    x = 571,685,577,581,265,344/344,574,145.50
  6. Step 6: Final answer
    x = 1,659,107,582.64

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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.