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Finding the Third Proportional to 1,852,024,033,388 and 4,011,797,146,879

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Solution

The third proportional to 1,852,024,033,388 and 4,011,797,146,879 is: 8,690,230,827,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,024,033,388 : 4,011,797,146,879 = 4,011,797,146,879 : x
  2. Step 2: Convert to fraction form
    1,852,024,033,388/4,011,797,146,879 = 4,011,797,146,879/x
  3. Step 3: Cross multiply
    1,852,024,033,388x = 4,011,797,146,879 × 4,011,797,146,879
  4. Step 4: Simplify right side
    1,852,024,033,388x = 16,094,516,347,706,485,388,607,488
  5. Step 5: Solve for x
    x = 16,094,516,347,706,485,388,607,488/1,852,024,033,388
  6. Step 6: Final answer
    x = 8,690,230,827,223.11

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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.