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Finding the Third Proportional to 3,130,038 and 6,860,123

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Solution

The third proportional to 3,130,038 and 6,860,123 is: 15,035,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,038 : 6,860,123 = 6,860,123 : x
  2. Step 2: Convert to fraction form
    3,130,038/6,860,123 = 6,860,123/x
  3. Step 3: Cross multiply
    3,130,038x = 6,860,123 × 6,860,123
  4. Step 4: Simplify right side
    3,130,038x = 47,061,287,575,129
  5. Step 5: Solve for x
    x = 47,061,287,575,129/3,130,038
  6. Step 6: Final answer
    x = 15,035,372.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.