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Finding the Third Proportional to 7,391,025 and 15,803,484

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Solution

The third proportional to 7,391,025 and 15,803,484 is: 33,790,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391,025 : 15,803,484 = 15,803,484 : x
  2. Step 2: Convert to fraction form
    7,391,025/15,803,484 = 15,803,484/x
  3. Step 3: Cross multiply
    7,391,025x = 15,803,484 × 15,803,484
  4. Step 4: Simplify right side
    7,391,025x = 249,750,106,538,256
  5. Step 5: Solve for x
    x = 249,750,106,538,256/7,391,025
  6. Step 6: Final answer
    x = 33,790,997.40

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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.