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Finding the Third Proportional to 64,736,521 and 138,706,816

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Solution

The third proportional to 64,736,521 and 138,706,816 is: 297,198,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,521 : 138,706,816 = 138,706,816 : x
  2. Step 2: Convert to fraction form
    64,736,521/138,706,816 = 138,706,816/x
  3. Step 3: Cross multiply
    64,736,521x = 138,706,816 × 138,706,816
  4. Step 4: Simplify right side
    64,736,521x = 19,239,580,804,857,856
  5. Step 5: Solve for x
    x = 19,239,580,804,857,856/64,736,521
  6. Step 6: Final answer
    x = 297,198,250.81

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