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Finding the Third Proportional to 29,927,148 and 64,329,732

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Solution

The third proportional to 29,927,148 and 64,329,732 is: 138,279,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927,148 : 64,329,732 = 64,329,732 : x
  2. Step 2: Convert to fraction form
    29,927,148/64,329,732 = 64,329,732/x
  3. Step 3: Cross multiply
    29,927,148x = 64,329,732 × 64,329,732
  4. Step 4: Simplify right side
    29,927,148x = 4,138,314,419,191,824
  5. Step 5: Solve for x
    x = 4,138,314,419,191,824/29,927,148
  6. Step 6: Final answer
    x = 138,279,612.18

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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.