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Finding the Third Proportional to 9,663,472 and 20,710,237

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Solution

The third proportional to 9,663,472 and 20,710,237 is: 44,385,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663,472 : 20,710,237 = 20,710,237 : x
  2. Step 2: Convert to fraction form
    9,663,472/20,710,237 = 20,710,237/x
  3. Step 3: Cross multiply
    9,663,472x = 20,710,237 × 20,710,237
  4. Step 4: Simplify right side
    9,663,472x = 428,913,916,596,169
  5. Step 5: Solve for x
    x = 428,913,916,596,169/9,663,472
  6. Step 6: Final answer
    x = 44,385,073.67

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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.