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Finding the Third Proportional to 370,052,714,478 and 499,288,000,410

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Solution

The third proportional to 370,052,714,478 and 499,288,000,410 is: 673,656,745,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,052,714,478 : 499,288,000,410 = 499,288,000,410 : x
  2. Step 2: Convert to fraction form
    370,052,714,478/499,288,000,410 = 499,288,000,410/x
  3. Step 3: Cross multiply
    370,052,714,478x = 499,288,000,410 × 499,288,000,410
  4. Step 4: Simplify right side
    370,052,714,478x = 249,288,507,353,416,161,296,384
  5. Step 5: Solve for x
    x = 249,288,507,353,416,161,296,384/370,052,714,478
  6. Step 6: Final answer
    x = 673,656,745,647.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.