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Finding the Third Proportional to 9,698,982 and 14,588,966.50

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Solution

The third proportional to 9,698,982 and 14,588,966.50 is: 21,944,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698,982 : 14,588,966.50 = 14,588,966.50 : x
  2. Step 2: Convert to fraction form
    9,698,982/14,588,966.50 = 14,588,966.50/x
  3. Step 3: Cross multiply
    9,698,982x = 14,588,966.50 × 14,588,966.50
  4. Step 4: Simplify right side
    9,698,982x = 212,837,943,538,122.25
  5. Step 5: Solve for x
    x = 212,837,943,538,122.25/9,698,982
  6. Step 6: Final answer
    x = 21,944,359.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.