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Finding the Third Proportional to 14,459,863,208 and 22,344,175,788

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Solution

The third proportional to 14,459,863,208 and 22,344,175,788 is: 34,527,449,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459,863,208 : 22,344,175,788 = 22,344,175,788 : x
  2. Step 2: Convert to fraction form
    14,459,863,208/22,344,175,788 = 22,344,175,788/x
  3. Step 3: Cross multiply
    14,459,863,208x = 22,344,175,788 × 22,344,175,788
  4. Step 4: Simplify right side
    14,459,863,208x = 499,262,191,645,045,424,128
  5. Step 5: Solve for x
    x = 499,262,191,645,045,424,128/14,459,863,208
  6. Step 6: Final answer
    x = 34,527,449,151.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.