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Finding the Third Proportional to 64,736,524 and 138,706,824

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Solution

The third proportional to 64,736,524 and 138,706,824 is: 297,198,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,524 : 138,706,824 = 138,706,824 : x
  2. Step 2: Convert to fraction form
    64,736,524/138,706,824 = 138,706,824/x
  3. Step 3: Cross multiply
    64,736,524x = 138,706,824 × 138,706,824
  4. Step 4: Simplify right side
    64,736,524x = 19,239,583,024,166,976
  5. Step 5: Solve for x
    x = 19,239,583,024,166,976/64,736,524
  6. Step 6: Final answer
    x = 297,198,271.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.