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Finding the Third Proportional to 7,698,961,964,472 and 16,315,819,922,508

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Solution

The third proportional to 7,698,961,964,472 and 16,315,819,922,508 is: 34,576,866,462,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698,961,964,472 : 16,315,819,922,508 = 16,315,819,922,508 : x
  2. Step 2: Convert to fraction form
    7,698,961,964,472/16,315,819,922,508 = 16,315,819,922,508/x
  3. Step 3: Cross multiply
    7,698,961,964,472x = 16,315,819,922,508 × 16,315,819,922,508
  4. Step 4: Simplify right side
    7,698,961,964,472x = 266,205,979,743,708,953,345,785,856
  5. Step 5: Solve for x
    x = 266,205,979,743,708,953,345,785,856/7,698,961,964,472
  6. Step 6: Final answer
    x = 34,576,866,462,278.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.