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Finding the Third Proportional to 35,156,956 and 77,121,224

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Solution

The third proportional to 35,156,956 and 77,121,224 is: 169,175,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156,956 : 77,121,224 = 77,121,224 : x
  2. Step 2: Convert to fraction form
    35,156,956/77,121,224 = 77,121,224/x
  3. Step 3: Cross multiply
    35,156,956x = 77,121,224 × 77,121,224
  4. Step 4: Simplify right side
    35,156,956x = 5,947,683,191,258,176
  5. Step 5: Solve for x
    x = 5,947,683,191,258,176/35,156,956
  6. Step 6: Final answer
    x = 169,175,146.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.