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Finding the Third Proportional to 29,912,556,611 and 64,788,949,309

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Solution

The third proportional to 29,912,556,611 and 64,788,949,309 is: 140,329,294,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912,556,611 : 64,788,949,309 = 64,788,949,309 : x
  2. Step 2: Convert to fraction form
    29,912,556,611/64,788,949,309 = 64,788,949,309/x
  3. Step 3: Cross multiply
    29,912,556,611x = 64,788,949,309 × 64,788,949,309
  4. Step 4: Simplify right side
    29,912,556,611x = 4,197,607,952,564,171,571,200
  5. Step 5: Solve for x
    x = 4,197,607,952,564,171,571,200/29,912,556,611
  6. Step 6: Final answer
    x = 140,329,294,053.74

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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.