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Finding the Third Proportional to 64,736,982 and 138,684,879

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Solution

The third proportional to 64,736,982 and 138,684,879 is: 297,102,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,982 : 138,684,879 = 138,684,879 : x
  2. Step 2: Convert to fraction form
    64,736,982/138,684,879 = 138,684,879/x
  3. Step 3: Cross multiply
    64,736,982x = 138,684,879 × 138,684,879
  4. Step 4: Simplify right side
    64,736,982x = 19,233,495,663,244,640
  5. Step 5: Solve for x
    x = 19,233,495,663,244,640/64,736,982
  6. Step 6: Final answer
    x = 297,102,136.51

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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.