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Finding the Third Proportional to 39,646,511 and 55,831,867.50

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Solution

The third proportional to 39,646,511 and 55,831,867.50 is: 78,624,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646,511 : 55,831,867.50 = 55,831,867.50 : x
  2. Step 2: Convert to fraction form
    39,646,511/55,831,867.50 = 55,831,867.50/x
  3. Step 3: Cross multiply
    39,646,511x = 55,831,867.50 × 55,831,867.50
  4. Step 4: Simplify right side
    39,646,511x = 3,117,197,428,537,556
  5. Step 5: Solve for x
    x = 3,117,197,428,537,556/39,646,511
  6. Step 6: Final answer
    x = 78,624,760.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.