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Finding the Third Proportional to 1,362,921,282 and 2,964,640,419

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Solution

The third proportional to 1,362,921,282 and 2,964,640,419 is: 6,448,716,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,921,282 : 2,964,640,419 = 2,964,640,419 : x
  2. Step 2: Convert to fraction form
    1,362,921,282/2,964,640,419 = 2,964,640,419/x
  3. Step 3: Cross multiply
    1,362,921,282x = 2,964,640,419 × 2,964,640,419
  4. Step 4: Simplify right side
    1,362,921,282x = 8,789,092,813,968,495,616
  5. Step 5: Solve for x
    x = 8,789,092,813,968,495,616/1,362,921,282
  6. Step 6: Final answer
    x = 6,448,716,393.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.