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Finding the Third Proportional to 29,436,955,362 and 64,201,689,774

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Solution

The third proportional to 29,436,955,362 and 64,201,689,774 is: 140,023,209,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,436,955,362 : 64,201,689,774 = 64,201,689,774 : x
  2. Step 2: Convert to fraction form
    29,436,955,362/64,201,689,774 = 64,201,689,774/x
  3. Step 3: Cross multiply
    29,436,955,362x = 64,201,689,774 × 64,201,689,774
  4. Step 4: Simplify right side
    29,436,955,362x = 4,121,856,969,836,936,036,352
  5. Step 5: Solve for x
    x = 4,121,856,969,836,936,036,352/29,436,955,362
  6. Step 6: Final answer
    x = 140,023,209,572.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.