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Finding the Third Proportional to 71,972,752 and 155,414,037

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Solution

The third proportional to 71,972,752 and 155,414,037 is: 335,592,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972,752 : 155,414,037 = 155,414,037 : x
  2. Step 2: Convert to fraction form
    71,972,752/155,414,037 = 155,414,037/x
  3. Step 3: Cross multiply
    71,972,752x = 155,414,037 × 155,414,037
  4. Step 4: Simplify right side
    71,972,752x = 24,153,522,896,637,368
  5. Step 5: Solve for x
    x = 24,153,522,896,637,368/71,972,752
  6. Step 6: Final answer
    x = 335,592,598.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.