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Finding the Third Proportional to 7,463,019 and 15,678,001.50

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Solution

The third proportional to 7,463,019 and 15,678,001.50 is: 32,935,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463,019 : 15,678,001.50 = 15,678,001.50 : x
  2. Step 2: Convert to fraction form
    7,463,019/15,678,001.50 = 15,678,001.50/x
  3. Step 3: Cross multiply
    7,463,019x = 15,678,001.50 × 15,678,001.50
  4. Step 4: Simplify right side
    7,463,019x = 245,799,731,034,002.25
  5. Step 5: Solve for x
    x = 245,799,731,034,002.25/7,463,019
  6. Step 6: Final answer
    x = 32,935,696.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.