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Finding the Third Proportional to 6,588,130 and 9,843,403

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Solution

The third proportional to 6,588,130 and 9,843,403 is: 14,707,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588,130 : 9,843,403 = 9,843,403 : x
  2. Step 2: Convert to fraction form
    6,588,130/9,843,403 = 9,843,403/x
  3. Step 3: Cross multiply
    6,588,130x = 9,843,403 × 9,843,403
  4. Step 4: Simplify right side
    6,588,130x = 96,892,582,620,409
  5. Step 5: Solve for x
    x = 96,892,582,620,409/6,588,130
  6. Step 6: Final answer
    x = 14,707,144.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.