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Finding the Third Proportional to 262,853,515.13 and 560,888,614.13

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Solution

The third proportional to 262,853,515.13 and 560,888,614.13 is: 1,196,849,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853,515.13 : 560,888,614.13 = 560,888,614.13 : x
  2. Step 2: Convert to fraction form
    262,853,515.13/560,888,614.13 = 560,888,614.13/x
  3. Step 3: Cross multiply
    262,853,515.13x = 560,888,614.13 × 560,888,614.13
  4. Step 4: Simplify right side
    262,853,515.13x = 314,596,037,455,063,168
  5. Step 5: Solve for x
    x = 314,596,037,455,063,168/262,853,515.13
  6. Step 6: Final answer
    x = 1,196,849,269.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.