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Finding the Third Proportional to 29,912,556,581 and 64,788,949,249

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Solution

The third proportional to 29,912,556,581 and 64,788,949,249 is: 140,329,293,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912,556,581 : 64,788,949,249 = 64,788,949,249 : x
  2. Step 2: Convert to fraction form
    29,912,556,581/64,788,949,249 = 64,788,949,249/x
  3. Step 3: Cross multiply
    29,912,556,581x = 64,788,949,249 × 64,788,949,249
  4. Step 4: Simplify right side
    29,912,556,581x = 4,197,607,944,789,497,479,168
  5. Step 5: Solve for x
    x = 4,197,607,944,789,497,479,168/29,912,556,581
  6. Step 6: Final answer
    x = 140,329,293,934.57

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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.