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Finding the Third Proportional to 19,799,714 and 31,505,547

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Solution

The third proportional to 19,799,714 and 31,505,547 is: 50,132,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,799,714 : 31,505,547 = 31,505,547 : x
  2. Step 2: Convert to fraction form
    19,799,714/31,505,547 = 31,505,547/x
  3. Step 3: Cross multiply
    19,799,714x = 31,505,547 × 31,505,547
  4. Step 4: Simplify right side
    19,799,714x = 992,599,491,769,209
  5. Step 5: Solve for x
    x = 992,599,491,769,209/19,799,714
  6. Step 6: Final answer
    x = 50,132,011.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.