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Finding the Third Proportional to 4,830,306.06 and 10,417,271.41

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Solution

The third proportional to 4,830,306.06 and 10,417,271.41 is: 22,466,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830,306.06 : 10,417,271.41 = 10,417,271.41 : x
  2. Step 2: Convert to fraction form
    4,830,306.06/10,417,271.41 = 10,417,271.41/x
  3. Step 3: Cross multiply
    4,830,306.06x = 10,417,271.41 × 10,417,271.41
  4. Step 4: Simplify right side
    4,830,306.06x = 108,519,543,714,233.31
  5. Step 5: Solve for x
    x = 108,519,543,714,233.31/4,830,306.06
  6. Step 6: Final answer
    x = 22,466,390.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.