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Finding the Third Proportional to 6,905,072 and 10,453,572

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Solution

The third proportional to 6,905,072 and 10,453,572 is: 15,825,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,072 : 10,453,572 = 10,453,572 : x
  2. Step 2: Convert to fraction form
    6,905,072/10,453,572 = 10,453,572/x
  3. Step 3: Cross multiply
    6,905,072x = 10,453,572 × 10,453,572
  4. Step 4: Simplify right side
    6,905,072x = 109,277,167,559,184
  5. Step 5: Solve for x
    x = 109,277,167,559,184/6,905,072
  6. Step 6: Final answer
    x = 15,825,637.67

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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.