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Finding the Third Proportional to 64,736,532 and 138,706,842

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Solution

The third proportional to 64,736,532 and 138,706,842 is: 297,198,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,532 : 138,706,842 = 138,706,842 : x
  2. Step 2: Convert to fraction form
    64,736,532/138,706,842 = 138,706,842/x
  3. Step 3: Cross multiply
    64,736,532x = 138,706,842 × 138,706,842
  4. Step 4: Simplify right side
    64,736,532x = 19,239,588,017,612,964
  5. Step 5: Solve for x
    x = 19,239,588,017,612,964/64,736,532
  6. Step 6: Final answer
    x = 297,198,311.73

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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.