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Finding the Third Proportional to 361,619,813 and 784,886,778

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Solution

The third proportional to 361,619,813 and 784,886,778 is: 1,703,577,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,619,813 : 784,886,778 = 784,886,778 : x
  2. Step 2: Convert to fraction form
    361,619,813/784,886,778 = 784,886,778/x
  3. Step 3: Cross multiply
    361,619,813x = 784,886,778 × 784,886,778
  4. Step 4: Simplify right side
    361,619,813x = 616,047,254,279,221,248
  5. Step 5: Solve for x
    x = 616,047,254,279,221,248/361,619,813
  6. Step 6: Final answer
    x = 1,703,577,160.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.