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Finding the Third Proportional to 25,484,709,276 and 35,434,451,184

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Solution

The third proportional to 25,484,709,276 and 35,434,451,184 is: 49,268,771,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484,709,276 : 35,434,451,184 = 35,434,451,184 : x
  2. Step 2: Convert to fraction form
    25,484,709,276/35,434,451,184 = 35,434,451,184/x
  3. Step 3: Cross multiply
    25,484,709,276x = 35,434,451,184 × 35,434,451,184
  4. Step 4: Simplify right side
    25,484,709,276x = 1,255,600,330,711,279,075,328
  5. Step 5: Solve for x
    x = 1,255,600,330,711,279,075,328/25,484,709,276
  6. Step 6: Final answer
    x = 49,268,771,996.30

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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.