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Finding the Third Proportional to 7,161,038 and 14,652,996

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Solution

The third proportional to 7,161,038 and 14,652,996 is: 29,983,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,038 : 14,652,996 = 14,652,996 : x
  2. Step 2: Convert to fraction form
    7,161,038/14,652,996 = 14,652,996/x
  3. Step 3: Cross multiply
    7,161,038x = 14,652,996 × 14,652,996
  4. Step 4: Simplify right side
    7,161,038x = 214,710,291,776,016
  5. Step 5: Solve for x
    x = 214,710,291,776,016/7,161,038
  6. Step 6: Final answer
    x = 29,983,124.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.