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Finding the Third Proportional to 7,324,402 and 10,784,237

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Solution

The third proportional to 7,324,402 and 10,784,237 is: 15,878,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324,402 : 10,784,237 = 10,784,237 : x
  2. Step 2: Convert to fraction form
    7,324,402/10,784,237 = 10,784,237/x
  3. Step 3: Cross multiply
    7,324,402x = 10,784,237 × 10,784,237
  4. Step 4: Simplify right side
    7,324,402x = 116,299,767,672,169
  5. Step 5: Solve for x
    x = 116,299,767,672,169/7,324,402
  6. Step 6: Final answer
    x = 15,878,397.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.