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Finding the Third Proportional to 341,855,148,856.50 and 727,924,063,149

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Solution

The third proportional to 341,855,148,856.50 and 727,924,063,149 is: 1,549,994,035,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,855,148,856.50 : 727,924,063,149 = 727,924,063,149 : x
  2. Step 2: Convert to fraction form
    341,855,148,856.50/727,924,063,149 = 727,924,063,149/x
  3. Step 3: Cross multiply
    341,855,148,856.50x = 727,924,063,149 × 727,924,063,149
  4. Step 4: Simplify right side
    341,855,148,856.50x = 529,873,441,711,349,351,579,648
  5. Step 5: Solve for x
    x = 529,873,441,711,349,351,579,648/341,855,148,856.50
  6. Step 6: Final answer
    x = 1,549,994,035,438.01

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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.