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Finding the Third Proportional to 3,242,994 and 7,506,645

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Solution

The third proportional to 3,242,994 and 7,506,645 is: 17,375,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242,994 : 7,506,645 = 7,506,645 : x
  2. Step 2: Convert to fraction form
    3,242,994/7,506,645 = 7,506,645/x
  3. Step 3: Cross multiply
    3,242,994x = 7,506,645 × 7,506,645
  4. Step 4: Simplify right side
    3,242,994x = 56,349,719,156,025
  5. Step 5: Solve for x
    x = 56,349,719,156,025/3,242,994
  6. Step 6: Final answer
    x = 17,375,832.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.