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Finding the Third Proportional to 8,975,977.50 and 19,473,747

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Solution

The third proportional to 8,975,977.50 and 19,473,747 is: 42,249,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975,977.50 : 19,473,747 = 19,473,747 : x
  2. Step 2: Convert to fraction form
    8,975,977.50/19,473,747 = 19,473,747/x
  3. Step 3: Cross multiply
    8,975,977.50x = 19,473,747 × 19,473,747
  4. Step 4: Simplify right side
    8,975,977.50x = 379,226,822,220,009
  5. Step 5: Solve for x
    x = 379,226,822,220,009/8,975,977.50
  6. Step 6: Final answer
    x = 42,249,083.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.