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Finding the Third Proportional to 35,285,465 and 75,977,356

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Solution

The third proportional to 35,285,465 and 75,977,356 is: 163,595,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,465 : 75,977,356 = 75,977,356 : x
  2. Step 2: Convert to fraction form
    35,285,465/75,977,356 = 75,977,356/x
  3. Step 3: Cross multiply
    35,285,465x = 75,977,356 × 75,977,356
  4. Step 4: Simplify right side
    35,285,465x = 5,772,558,624,750,736
  5. Step 5: Solve for x
    x = 5,772,558,624,750,736/35,285,465
  6. Step 6: Final answer
    x = 163,595,934.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.