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Finding the Third Proportional to 3,634,426.13 and 7,929,005.63

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Solution

The third proportional to 3,634,426.13 and 7,929,005.63 is: 17,298,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,426.13 : 7,929,005.63 = 7,929,005.63 : x
  2. Step 2: Convert to fraction form
    3,634,426.13/7,929,005.63 = 7,929,005.63/x
  3. Step 3: Cross multiply
    3,634,426.13x = 7,929,005.63 × 7,929,005.63
  4. Step 4: Simplify right side
    3,634,426.13x = 62,869,130,201,281.64
  5. Step 5: Solve for x
    x = 62,869,130,201,281.64/3,634,426.13
  6. Step 6: Final answer
    x = 17,298,227.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.