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Finding the Third Proportional to 29,891,324,395.69 and 65,875,452,688

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Solution

The third proportional to 29,891,324,395.69 and 65,875,452,688 is: 145,178,420,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891,324,395.69 : 65,875,452,688 = 65,875,452,688 : x
  2. Step 2: Convert to fraction form
    29,891,324,395.69/65,875,452,688 = 65,875,452,688/x
  3. Step 3: Cross multiply
    29,891,324,395.69x = 65,875,452,688 × 65,875,452,688
  4. Step 4: Simplify right side
    29,891,324,395.69x = 4,339,575,266,848,926,597,120
  5. Step 5: Solve for x
    x = 4,339,575,266,848,926,597,120/29,891,324,395.69
  6. Step 6: Final answer
    x = 145,178,420,648.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.