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Finding the Third Proportional to 25,484,709,213 and 35,434,451,100

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Solution

The third proportional to 25,484,709,213 and 35,434,451,100 is: 49,268,771,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484,709,213 : 35,434,451,100 = 35,434,451,100 : x
  2. Step 2: Convert to fraction form
    25,484,709,213/35,434,451,100 = 35,434,451,100/x
  3. Step 3: Cross multiply
    25,484,709,213x = 35,434,451,100 × 35,434,451,100
  4. Step 4: Simplify right side
    25,484,709,213x = 1,255,600,324,758,291,087,360
  5. Step 5: Solve for x
    x = 1,255,600,324,758,291,087,360/25,484,709,213
  6. Step 6: Final answer
    x = 49,268,771,884.51

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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.