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Finding the Third Proportional to 8,239,833.84 and 17,898,256.13

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Solution

The third proportional to 8,239,833.84 and 17,898,256.13 is: 38,877,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239,833.84 : 17,898,256.13 = 17,898,256.13 : x
  2. Step 2: Convert to fraction form
    8,239,833.84/17,898,256.13 = 17,898,256.13/x
  3. Step 3: Cross multiply
    8,239,833.84x = 17,898,256.13 × 17,898,256.13
  4. Step 4: Simplify right side
    8,239,833.84x = 320,347,572,316,100
  5. Step 5: Solve for x
    x = 320,347,572,316,100/8,239,833.84
  6. Step 6: Final answer
    x = 38,877,916.52

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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.