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Finding the Third Proportional to 29,927,133 and 64,329,696

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Solution

The third proportional to 29,927,133 and 64,329,696 is: 138,279,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927,133 : 64,329,696 = 64,329,696 : x
  2. Step 2: Convert to fraction form
    29,927,133/64,329,696 = 64,329,696/x
  3. Step 3: Cross multiply
    29,927,133x = 64,329,696 × 64,329,696
  4. Step 4: Simplify right side
    29,927,133x = 4,138,309,787,452,416
  5. Step 5: Solve for x
    x = 4,138,309,787,452,416/29,927,133
  6. Step 6: Final answer
    x = 138,279,526.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.