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Finding the Third Proportional to 676,119,411 and 1,468,628,934.75

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Solution

The third proportional to 676,119,411 and 1,468,628,934.75 is: 3,190,073,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,119,411 : 1,468,628,934.75 = 1,468,628,934.75 : x
  2. Step 2: Convert to fraction form
    676,119,411/1,468,628,934.75 = 1,468,628,934.75/x
  3. Step 3: Cross multiply
    676,119,411x = 1,468,628,934.75 × 1,468,628,934.75
  4. Step 4: Simplify right side
    676,119,411x = 2,156,870,947,984,919,808
  5. Step 5: Solve for x
    x = 2,156,870,947,984,919,808/676,119,411
  6. Step 6: Final answer
    x = 3,190,073,991.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.