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Finding the Third Proportional to 599,332,429,391.24 and 1,230,437,216,829

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Solution

The third proportional to 599,332,429,391.24 and 1,230,437,216,829 is: 2,526,103,495,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,332,429,391.24 : 1,230,437,216,829 = 1,230,437,216,829 : x
  2. Step 2: Convert to fraction form
    599,332,429,391.24/1,230,437,216,829 = 1,230,437,216,829/x
  3. Step 3: Cross multiply
    599,332,429,391.24x = 1,230,437,216,829 × 1,230,437,216,829
  4. Step 4: Simplify right side
    599,332,429,391.24x = 1,513,975,744,557,895,475,265,536
  5. Step 5: Solve for x
    x = 1,513,975,744,557,895,475,265,536/599,332,429,391.24
  6. Step 6: Final answer
    x = 2,526,103,495,009.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.