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Finding the Third Proportional to 29,874,899.25 and 64,289,889

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Solution

The third proportional to 29,874,899.25 and 64,289,889 is: 138,349,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874,899.25 : 64,289,889 = 64,289,889 : x
  2. Step 2: Convert to fraction form
    29,874,899.25/64,289,889 = 64,289,889/x
  3. Step 3: Cross multiply
    29,874,899.25x = 64,289,889 × 64,289,889
  4. Step 4: Simplify right side
    29,874,899.25x = 4,133,189,827,632,321
  5. Step 5: Solve for x
    x = 4,133,189,827,632,321/29,874,899.25
  6. Step 6: Final answer
    x = 138,349,916.87

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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.