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Finding the Third Proportional to 6,828,794,221.50 and 10,243,191,322.13

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Solution

The third proportional to 6,828,794,221.50 and 10,243,191,322.13 is: 15,364,786,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828,794,221.50 : 10,243,191,322.13 = 10,243,191,322.13 : x
  2. Step 2: Convert to fraction form
    6,828,794,221.50/10,243,191,322.13 = 10,243,191,322.13/x
  3. Step 3: Cross multiply
    6,828,794,221.50x = 10,243,191,322.13 × 10,243,191,322.13
  4. Step 4: Simplify right side
    6,828,794,221.50x = 104,922,968,461,656,899,584
  5. Step 5: Solve for x
    x = 104,922,968,461,656,899,584/6,828,794,221.50
  6. Step 6: Final answer
    x = 15,364,786,968

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.