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Finding the Third Proportional to 5,182,803 and 7,641,343

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Solution

The third proportional to 5,182,803 and 7,641,343 is: 11,266,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,803 : 7,641,343 = 7,641,343 : x
  2. Step 2: Convert to fraction form
    5,182,803/7,641,343 = 7,641,343/x
  3. Step 3: Cross multiply
    5,182,803x = 7,641,343 × 7,641,343
  4. Step 4: Simplify right side
    5,182,803x = 58,390,122,843,649
  5. Step 5: Solve for x
    x = 58,390,122,843,649/5,182,803
  6. Step 6: Final answer
    x = 11,266,128.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.