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Finding the Third Proportional to 2,779,965 and 6,091,370

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Solution

The third proportional to 2,779,965 and 6,091,370 is: 13,347,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779,965 : 6,091,370 = 6,091,370 : x
  2. Step 2: Convert to fraction form
    2,779,965/6,091,370 = 6,091,370/x
  3. Step 3: Cross multiply
    2,779,965x = 6,091,370 × 6,091,370
  4. Step 4: Simplify right side
    2,779,965x = 37,104,788,476,900
  5. Step 5: Solve for x
    x = 37,104,788,476,900/2,779,965
  6. Step 6: Final answer
    x = 13,347,214.26

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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.