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Finding the Third Proportional to 35,462,768 and 53,909,184

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Solution

The third proportional to 35,462,768 and 53,909,184 is: 81,950,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462,768 : 53,909,184 = 53,909,184 : x
  2. Step 2: Convert to fraction form
    35,462,768/53,909,184 = 53,909,184/x
  3. Step 3: Cross multiply
    35,462,768x = 53,909,184 × 53,909,184
  4. Step 4: Simplify right side
    35,462,768x = 2,906,200,119,545,856
  5. Step 5: Solve for x
    x = 2,906,200,119,545,856/35,462,768
  6. Step 6: Final answer
    x = 81,950,741.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.