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Finding the Third Proportional to 16,881,735,748 and 35,946,867,320

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Solution

The third proportional to 16,881,735,748 and 35,946,867,320 is: 76,542,915,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881,735,748 : 35,946,867,320 = 35,946,867,320 : x
  2. Step 2: Convert to fraction form
    16,881,735,748/35,946,867,320 = 35,946,867,320/x
  3. Step 3: Cross multiply
    16,881,735,748x = 35,946,867,320 × 35,946,867,320
  4. Step 4: Simplify right side
    16,881,735,748x = 1,292,177,270,121,684,008,960
  5. Step 5: Solve for x
    x = 1,292,177,270,121,684,008,960/16,881,735,748
  6. Step 6: Final answer
    x = 76,542,915,338.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.