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Finding the Third Proportional to 35,459,615 and 77,645,199

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Solution

The third proportional to 35,459,615 and 77,645,199 is: 170,018,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459,615 : 77,645,199 = 77,645,199 : x
  2. Step 2: Convert to fraction form
    35,459,615/77,645,199 = 77,645,199/x
  3. Step 3: Cross multiply
    35,459,615x = 77,645,199 × 77,645,199
  4. Step 4: Simplify right side
    35,459,615x = 6,028,776,927,749,601
  5. Step 5: Solve for x
    x = 6,028,776,927,749,601/35,459,615
  6. Step 6: Final answer
    x = 170,018,115.76

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Why These Related Problems?

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