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Finding the Third Proportional to 35,459,613 and 77,645,195

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Solution

The third proportional to 35,459,613 and 77,645,195 is: 170,018,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459,613 : 77,645,195 = 77,645,195 : x
  2. Step 2: Convert to fraction form
    35,459,613/77,645,195 = 77,645,195/x
  3. Step 3: Cross multiply
    35,459,613x = 77,645,195 × 77,645,195
  4. Step 4: Simplify right side
    35,459,613x = 6,028,776,306,588,025
  5. Step 5: Solve for x
    x = 6,028,776,306,588,025/35,459,613
  6. Step 6: Final answer
    x = 170,018,107.83

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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.