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Finding the Third Proportional to 1,401,372,938 and 1,970,937,276

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Solution

The third proportional to 1,401,372,938 and 1,970,937,276 is: 2,771,991,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,372,938 : 1,970,937,276 = 1,970,937,276 : x
  2. Step 2: Convert to fraction form
    1,401,372,938/1,970,937,276 = 1,970,937,276/x
  3. Step 3: Cross multiply
    1,401,372,938x = 1,970,937,276 × 1,970,937,276
  4. Step 4: Simplify right side
    1,401,372,938x = 3,884,593,745,926,300,160
  5. Step 5: Solve for x
    x = 3,884,593,745,926,300,160/1,401,372,938
  6. Step 6: Final answer
    x = 2,771,991,409.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.