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Finding the Third Proportional to 35,406,148,936 and 72,234,559,734

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Solution

The third proportional to 35,406,148,936 and 72,234,559,734 is: 147,370,775,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406,148,936 : 72,234,559,734 = 72,234,559,734 : x
  2. Step 2: Convert to fraction form
    35,406,148,936/72,234,559,734 = 72,234,559,734/x
  3. Step 3: Cross multiply
    35,406,148,936x = 72,234,559,734 × 72,234,559,734
  4. Step 4: Simplify right side
    35,406,148,936x = 5,217,831,619,964,813,967,360
  5. Step 5: Solve for x
    x = 5,217,831,619,964,813,967,360/35,406,148,936
  6. Step 6: Final answer
    x = 147,370,775,324.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.