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Finding the Third Proportional to 3,316,509 and 7,031,578

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Solution

The third proportional to 3,316,509 and 7,031,578 is: 14,908,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316,509 : 7,031,578 = 7,031,578 : x
  2. Step 2: Convert to fraction form
    3,316,509/7,031,578 = 7,031,578/x
  3. Step 3: Cross multiply
    3,316,509x = 7,031,578 × 7,031,578
  4. Step 4: Simplify right side
    3,316,509x = 49,443,089,170,084
  5. Step 5: Solve for x
    x = 49,443,089,170,084/3,316,509
  6. Step 6: Final answer
    x = 14,908,172.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.