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Finding the Third Proportional to 6,974,785 and 14,779,293

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Solution

The third proportional to 6,974,785 and 14,779,293 is: 31,316,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974,785 : 14,779,293 = 14,779,293 : x
  2. Step 2: Convert to fraction form
    6,974,785/14,779,293 = 14,779,293/x
  3. Step 3: Cross multiply
    6,974,785x = 14,779,293 × 14,779,293
  4. Step 4: Simplify right side
    6,974,785x = 218,427,501,579,849
  5. Step 5: Solve for x
    x = 218,427,501,579,849/6,974,785
  6. Step 6: Final answer
    x = 31,316,736.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.