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Finding the Third Proportional to 64,751,346 and 138,733,371

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Solution

The third proportional to 64,751,346 and 138,733,371 is: 297,243,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,751,346 : 138,733,371 = 138,733,371 : x
  2. Step 2: Convert to fraction form
    64,751,346/138,733,371 = 138,733,371/x
  3. Step 3: Cross multiply
    64,751,346x = 138,733,371 × 138,733,371
  4. Step 4: Simplify right side
    64,751,346x = 19,246,948,229,023,640
  5. Step 5: Solve for x
    x = 19,246,948,229,023,640/64,751,346
  6. Step 6: Final answer
    x = 297,243,986.70

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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.