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Finding the Third Proportional to 6,337,506 and 13,685,261

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Solution

The third proportional to 6,337,506 and 13,685,261 is: 29,552,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,506 : 13,685,261 = 13,685,261 : x
  2. Step 2: Convert to fraction form
    6,337,506/13,685,261 = 13,685,261/x
  3. Step 3: Cross multiply
    6,337,506x = 13,685,261 × 13,685,261
  4. Step 4: Simplify right side
    6,337,506x = 187,286,368,638,121
  5. Step 5: Solve for x
    x = 187,286,368,638,121/6,337,506
  6. Step 6: Final answer
    x = 29,552,061.75

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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.