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Finding the Third Proportional to 14,444,823,508 and 29,295,802,560

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Solution

The third proportional to 14,444,823,508 and 29,295,802,560 is: 59,415,336,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444,823,508 : 29,295,802,560 = 29,295,802,560 : x
  2. Step 2: Convert to fraction form
    14,444,823,508/29,295,802,560 = 29,295,802,560/x
  3. Step 3: Cross multiply
    14,444,823,508x = 29,295,802,560 × 29,295,802,560
  4. Step 4: Simplify right side
    14,444,823,508x = 858,244,047,634,502,516,736
  5. Step 5: Solve for x
    x = 858,244,047,634,502,516,736/14,444,823,508
  6. Step 6: Final answer
    x = 59,415,336,377.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.