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Finding the Third Proportional to 29,774,427.75 and 64,495,305

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Solution

The third proportional to 29,774,427.75 and 64,495,305 is: 139,705,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774,427.75 : 64,495,305 = 64,495,305 : x
  2. Step 2: Convert to fraction form
    29,774,427.75/64,495,305 = 64,495,305/x
  3. Step 3: Cross multiply
    29,774,427.75x = 64,495,305 × 64,495,305
  4. Step 4: Simplify right side
    29,774,427.75x = 4,159,644,367,043,025
  5. Step 5: Solve for x
    x = 4,159,644,367,043,025/29,774,427.75
  6. Step 6: Final answer
    x = 139,705,266.61

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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.