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Finding the Third Proportional to 1,590,752,396 and 3,456,857,664

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Solution

The third proportional to 1,590,752,396 and 3,456,857,664 is: 7,512,083,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,752,396 : 3,456,857,664 = 3,456,857,664 : x
  2. Step 2: Convert to fraction form
    1,590,752,396/3,456,857,664 = 3,456,857,664/x
  3. Step 3: Cross multiply
    1,590,752,396x = 3,456,857,664 × 3,456,857,664
  4. Step 4: Simplify right side
    1,590,752,396x = 11,949,864,909,155,536,896
  5. Step 5: Solve for x
    x = 11,949,864,909,155,536,896/1,590,752,396
  6. Step 6: Final answer
    x = 7,512,083,551.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.