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Finding the Third Proportional to 288,382,866 and 619,762,908

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Solution

The third proportional to 288,382,866 and 619,762,908 is: 1,331,930,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,382,866 : 619,762,908 = 619,762,908 : x
  2. Step 2: Convert to fraction form
    288,382,866/619,762,908 = 619,762,908/x
  3. Step 3: Cross multiply
    288,382,866x = 619,762,908 × 619,762,908
  4. Step 4: Simplify right side
    288,382,866x = 384,106,062,132,616,448
  5. Step 5: Solve for x
    x = 384,106,062,132,616,448/288,382,866
  6. Step 6: Final answer
    x = 1,331,930,941.18

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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.