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Finding the Third Proportional to 4,652,024 and 9,867,712

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Solution

The third proportional to 4,652,024 and 9,867,712 is: 20,931,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,024 : 9,867,712 = 9,867,712 : x
  2. Step 2: Convert to fraction form
    4,652,024/9,867,712 = 9,867,712/x
  3. Step 3: Cross multiply
    4,652,024x = 9,867,712 × 9,867,712
  4. Step 4: Simplify right side
    4,652,024x = 97,371,740,114,944
  5. Step 5: Solve for x
    x = 97,371,740,114,944/4,652,024
  6. Step 6: Final answer
    x = 20,931,048.53

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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.