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Finding the Third Proportional to 16,881,735,746 and 35,946,867,316

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Solution

The third proportional to 16,881,735,746 and 35,946,867,316 is: 76,542,915,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881,735,746 : 35,946,867,316 = 35,946,867,316 : x
  2. Step 2: Convert to fraction form
    16,881,735,746/35,946,867,316 = 35,946,867,316/x
  3. Step 3: Cross multiply
    16,881,735,746x = 35,946,867,316 × 35,946,867,316
  4. Step 4: Simplify right side
    16,881,735,746x = 1,292,177,269,834,109,157,376
  5. Step 5: Solve for x
    x = 1,292,177,269,834,109,157,376/16,881,735,746
  6. Step 6: Final answer
    x = 76,542,915,330.27

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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.