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Finding the Third Proportional to 687,647,616 and 1,484,193,648

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Solution

The third proportional to 687,647,616 and 1,484,193,648 is: 3,203,429,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,647,616 : 1,484,193,648 = 1,484,193,648 : x
  2. Step 2: Convert to fraction form
    687,647,616/1,484,193,648 = 1,484,193,648/x
  3. Step 3: Cross multiply
    687,647,616x = 1,484,193,648 × 1,484,193,648
  4. Step 4: Simplify right side
    687,647,616x = 2,202,830,784,763,547,904
  5. Step 5: Solve for x
    x = 2,202,830,784,763,547,904/687,647,616
  6. Step 6: Final answer
    x = 3,203,429,683.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.