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Finding the Third Proportional to 57,696,355 and 82,500,256.50

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Solution

The third proportional to 57,696,355 and 82,500,256.50 is: 117,967,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696,355 : 82,500,256.50 = 82,500,256.50 : x
  2. Step 2: Convert to fraction form
    57,696,355/82,500,256.50 = 82,500,256.50/x
  3. Step 3: Cross multiply
    57,696,355x = 82,500,256.50 × 82,500,256.50
  4. Step 4: Simplify right side
    57,696,355x = 6,806,292,322,565,792
  5. Step 5: Solve for x
    x = 6,806,292,322,565,792/57,696,355
  6. Step 6: Final answer
    x = 117,967,457.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.