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Finding the Third Proportional to 16,869,719,386 and 35,135,735,484

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Solution

The third proportional to 16,869,719,386 and 35,135,735,484 is: 73,179,635,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869,719,386 : 35,135,735,484 = 35,135,735,484 : x
  2. Step 2: Convert to fraction form
    16,869,719,386/35,135,735,484 = 35,135,735,484/x
  3. Step 3: Cross multiply
    16,869,719,386x = 35,135,735,484 × 35,135,735,484
  4. Step 4: Simplify right side
    16,869,719,386x = 1,234,519,908,001,616,756,736
  5. Step 5: Solve for x
    x = 1,234,519,908,001,616,756,736/16,869,719,386
  6. Step 6: Final answer
    x = 73,179,635,046.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.