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Finding the Third Proportional to 9,663,457.50 and 20,710,209

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Solution

The third proportional to 9,663,457.50 and 20,710,209 is: 44,385,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663,457.50 : 20,710,209 = 20,710,209 : x
  2. Step 2: Convert to fraction form
    9,663,457.50/20,710,209 = 20,710,209/x
  3. Step 3: Cross multiply
    9,663,457.50x = 20,710,209 × 20,710,209
  4. Step 4: Simplify right side
    9,663,457.50x = 428,912,756,823,681
  5. Step 5: Solve for x
    x = 428,912,756,823,681/9,663,457.50
  6. Step 6: Final answer
    x = 44,385,020.25

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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.