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Finding the Third Proportional to 796,202,970,680 and 1,754,697,461,152

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Solution

The third proportional to 796,202,970,680 and 1,754,697,461,152 is: 3,867,058,141,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,202,970,680 : 1,754,697,461,152 = 1,754,697,461,152 : x
  2. Step 2: Convert to fraction form
    796,202,970,680/1,754,697,461,152 = 1,754,697,461,152/x
  3. Step 3: Cross multiply
    796,202,970,680x = 1,754,697,461,152 × 1,754,697,461,152
  4. Step 4: Simplify right side
    796,202,970,680x = 3,078,963,180,173,274,541,719,552
  5. Step 5: Solve for x
    x = 3,078,963,180,173,274,541,719,552/796,202,970,680
  6. Step 6: Final answer
    x = 3,867,058,141,649.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.