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Finding the Third Proportional to 70,681,451,321 and 99,180,068,208

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Solution

The third proportional to 70,681,451,321 and 99,180,068,208 is: 139,169,269,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,681,451,321 : 99,180,068,208 = 99,180,068,208 : x
  2. Step 2: Convert to fraction form
    70,681,451,321/99,180,068,208 = 99,180,068,208/x
  3. Step 3: Cross multiply
    70,681,451,321x = 99,180,068,208 × 99,180,068,208
  4. Step 4: Simplify right side
    70,681,451,321x = 9,836,685,929,743,531,376,640
  5. Step 5: Solve for x
    x = 9,836,685,929,743,531,376,640/70,681,451,321
  6. Step 6: Final answer
    x = 139,169,269,248.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.