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Finding the Third Proportional to 25,484,709,287 and 35,434,451,230

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Solution

The third proportional to 25,484,709,287 and 35,434,451,230 is: 49,268,772,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484,709,287 : 35,434,451,230 = 35,434,451,230 : x
  2. Step 2: Convert to fraction form
    25,484,709,287/35,434,451,230 = 35,434,451,230/x
  3. Step 3: Cross multiply
    25,484,709,287x = 35,434,451,230 × 35,434,451,230
  4. Step 4: Simplify right side
    25,484,709,287x = 1,255,600,333,971,248,381,952
  5. Step 5: Solve for x
    x = 1,255,600,333,971,248,381,952/25,484,709,287
  6. Step 6: Final answer
    x = 49,268,772,102.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.