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Finding the Third Proportional to 6,974,790 and 14,779,302

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Solution

The third proportional to 6,974,790 and 14,779,302 is: 31,316,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974,790 : 14,779,302 = 14,779,302 : x
  2. Step 2: Convert to fraction form
    6,974,790/14,779,302 = 14,779,302/x
  3. Step 3: Cross multiply
    6,974,790x = 14,779,302 × 14,779,302
  4. Step 4: Simplify right side
    6,974,790x = 218,427,767,607,204
  5. Step 5: Solve for x
    x = 218,427,767,607,204/6,974,790
  6. Step 6: Final answer
    x = 31,316,751.85

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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.