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Finding the Third Proportional to 2,949,560,250 and 6,319,834,512

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Solution

The third proportional to 2,949,560,250 and 6,319,834,512 is: 13,541,106,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,560,250 : 6,319,834,512 = 6,319,834,512 : x
  2. Step 2: Convert to fraction form
    2,949,560,250/6,319,834,512 = 6,319,834,512/x
  3. Step 3: Cross multiply
    2,949,560,250x = 6,319,834,512 × 6,319,834,512
  4. Step 4: Simplify right side
    2,949,560,250x = 39,940,308,259,066,281,984
  5. Step 5: Solve for x
    x = 39,940,308,259,066,281,984/2,949,560,250
  6. Step 6: Final answer
    x = 13,541,106,088.29

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Why These Related Problems?

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