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Finding the Third Proportional to 370,860,250,974 and 803,331,709,908

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Solution

The third proportional to 370,860,250,974 and 803,331,709,908 is: 1,740,121,338,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,860,250,974 : 803,331,709,908 = 803,331,709,908 : x
  2. Step 2: Convert to fraction form
    370,860,250,974/803,331,709,908 = 803,331,709,908/x
  3. Step 3: Cross multiply
    370,860,250,974x = 803,331,709,908 × 803,331,709,908
  4. Step 4: Simplify right side
    370,860,250,974x = 645,341,836,143,711,056,035,840
  5. Step 5: Solve for x
    x = 645,341,836,143,711,056,035,840/370,860,250,974
  6. Step 6: Final answer
    x = 1,740,121,338,021.08

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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.