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Finding the Third Proportional to 35,285,463 and 75,977,352

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Solution

The third proportional to 35,285,463 and 75,977,352 is: 163,595,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,463 : 75,977,352 = 75,977,352 : x
  2. Step 2: Convert to fraction form
    35,285,463/75,977,352 = 75,977,352/x
  3. Step 3: Cross multiply
    35,285,463x = 75,977,352 × 75,977,352
  4. Step 4: Simplify right side
    35,285,463x = 5,772,558,016,931,904
  5. Step 5: Solve for x
    x = 5,772,558,016,931,904/35,285,463
  6. Step 6: Final answer
    x = 163,595,926.65

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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.