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Finding the Third Proportional to 301,632,212.81 and 649,484,974.69

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Solution

The third proportional to 301,632,212.81 and 649,484,974.69 is: 1,398,493,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,632,212.81 : 649,484,974.69 = 649,484,974.69 : x
  2. Step 2: Convert to fraction form
    301,632,212.81/649,484,974.69 = 649,484,974.69/x
  3. Step 3: Cross multiply
    301,632,212.81x = 649,484,974.69 × 649,484,974.69
  4. Step 4: Simplify right side
    301,632,212.81x = 421,830,732,344,822,528
  5. Step 5: Solve for x
    x = 421,830,732,344,822,528/301,632,212.81
  6. Step 6: Final answer
    x = 1,398,493,643.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.