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Finding the Third Proportional to 796,202,970,678 and 1,754,697,461,148

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Solution

The third proportional to 796,202,970,678 and 1,754,697,461,148 is: 3,867,058,141,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,202,970,678 : 1,754,697,461,148 = 1,754,697,461,148 : x
  2. Step 2: Convert to fraction form
    796,202,970,678/1,754,697,461,148 = 1,754,697,461,148/x
  3. Step 3: Cross multiply
    796,202,970,678x = 1,754,697,461,148 × 1,754,697,461,148
  4. Step 4: Simplify right side
    796,202,970,678x = 3,078,963,180,159,236,977,983,488
  5. Step 5: Solve for x
    x = 3,078,963,180,159,236,977,983,488/796,202,970,678
  6. Step 6: Final answer
    x = 3,867,058,141,641.16

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