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Finding the Third Proportional to 7,077,038 and 10,674,202

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Solution

The third proportional to 7,077,038 and 10,674,202 is: 16,099,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077,038 : 10,674,202 = 10,674,202 : x
  2. Step 2: Convert to fraction form
    7,077,038/10,674,202 = 10,674,202/x
  3. Step 3: Cross multiply
    7,077,038x = 10,674,202 × 10,674,202
  4. Step 4: Simplify right side
    7,077,038x = 113,938,588,336,804
  5. Step 5: Solve for x
    x = 113,938,588,336,804/7,077,038
  6. Step 6: Final answer
    x = 16,099,756.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.