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Finding the Third Proportional to 6,811,033.50 and 14,547,411

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Solution

The third proportional to 6,811,033.50 and 14,547,411 is: 31,071,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,033.50 : 14,547,411 = 14,547,411 : x
  2. Step 2: Convert to fraction form
    6,811,033.50/14,547,411 = 14,547,411/x
  3. Step 3: Cross multiply
    6,811,033.50x = 14,547,411 × 14,547,411
  4. Step 4: Simplify right side
    6,811,033.50x = 211,627,166,802,921
  5. Step 5: Solve for x
    x = 211,627,166,802,921/6,811,033.50
  6. Step 6: Final answer
    x = 31,071,226.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.