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Finding the Third Proportional to 6,090,681 and 13,543,122

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Solution

The third proportional to 6,090,681 and 13,543,122 is: 30,114,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090,681 : 13,543,122 = 13,543,122 : x
  2. Step 2: Convert to fraction form
    6,090,681/13,543,122 = 13,543,122/x
  3. Step 3: Cross multiply
    6,090,681x = 13,543,122 × 13,543,122
  4. Step 4: Simplify right side
    6,090,681x = 183,416,153,506,884
  5. Step 5: Solve for x
    x = 183,416,153,506,884/6,090,681
  6. Step 6: Final answer
    x = 30,114,227.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.