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Finding the Third Proportional to 462,968,340,172 and 996,875,550,788

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Solution

The third proportional to 462,968,340,172 and 996,875,550,788 is: 2,146,498,534,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,968,340,172 : 996,875,550,788 = 996,875,550,788 : x
  2. Step 2: Convert to fraction form
    462,968,340,172/996,875,550,788 = 996,875,550,788/x
  3. Step 3: Cross multiply
    462,968,340,172x = 996,875,550,788 × 996,875,550,788
  4. Step 4: Simplify right side
    462,968,340,172x = 993,760,863,758,878,364,401,664
  5. Step 5: Solve for x
    x = 993,760,863,758,878,364,401,664/462,968,340,172
  6. Step 6: Final answer
    x = 2,146,498,534,629.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.