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Finding the Third Proportional to 30,266,356,811.06 and 65,024,338,340.81

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Solution

The third proportional to 30,266,356,811.06 and 65,024,338,340.81 is: 139,698,497,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266,356,811.06 : 65,024,338,340.81 = 65,024,338,340.81 : x
  2. Step 2: Convert to fraction form
    30,266,356,811.06/65,024,338,340.81 = 65,024,338,340.81/x
  3. Step 3: Cross multiply
    30,266,356,811.06x = 65,024,338,340.81 × 65,024,338,340.81
  4. Step 4: Simplify right side
    30,266,356,811.06x = 4,228,164,576,660,392,771,584
  5. Step 5: Solve for x
    x = 4,228,164,576,660,392,771,584/30,266,356,811.06
  6. Step 6: Final answer
    x = 139,698,497,676.97

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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.