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Finding the Third Proportional to 5,473,809 and 7,884,849.38

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Solution

The third proportional to 5,473,809 and 7,884,849.38 is: 11,357,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473,809 : 7,884,849.38 = 7,884,849.38 : x
  2. Step 2: Convert to fraction form
    5,473,809/7,884,849.38 = 7,884,849.38/x
  3. Step 3: Cross multiply
    5,473,809x = 7,884,849.38 × 7,884,849.38
  4. Step 4: Simplify right side
    5,473,809x = 62,170,849,666,437.89
  5. Step 5: Solve for x
    x = 62,170,849,666,437.89/5,473,809
  6. Step 6: Final answer
    x = 11,357,877.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.