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Finding the Third Proportional to 6,980,529 and 15,338,547.75

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Solution

The third proportional to 6,980,529 and 15,338,547.75 is: 33,703,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980,529 : 15,338,547.75 = 15,338,547.75 : x
  2. Step 2: Convert to fraction form
    6,980,529/15,338,547.75 = 15,338,547.75/x
  3. Step 3: Cross multiply
    6,980,529x = 15,338,547.75 × 15,338,547.75
  4. Step 4: Simplify right side
    6,980,529x = 235,271,047,079,030.06
  5. Step 5: Solve for x
    x = 235,271,047,079,030.06/6,980,529
  6. Step 6: Final answer
    x = 33,703,899.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.