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Finding the Third Proportional to 240,596,175,253.50 and 516,118,816,576.50

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Solution

The third proportional to 240,596,175,253.50 and 516,118,816,576.50 is: 1,107,160,712,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,596,175,253.50 : 516,118,816,576.50 = 516,118,816,576.50 : x
  2. Step 2: Convert to fraction form
    240,596,175,253.50/516,118,816,576.50 = 516,118,816,576.50/x
  3. Step 3: Cross multiply
    240,596,175,253.50x = 516,118,816,576.50 × 516,118,816,576.50
  4. Step 4: Simplify right side
    240,596,175,253.50x = 266,378,632,824,326,866,337,792
  5. Step 5: Solve for x
    x = 266,378,632,824,326,866,337,792/240,596,175,253.50
  6. Step 6: Final answer
    x = 1,107,160,712,524.47

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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.