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Finding the Third Proportional to 824,372,742 and 1,777,881,984

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Solution

The third proportional to 824,372,742 and 1,777,881,984 is: 3,834,265,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,742 : 1,777,881,984 = 1,777,881,984 : x
  2. Step 2: Convert to fraction form
    824,372,742/1,777,881,984 = 1,777,881,984/x
  3. Step 3: Cross multiply
    824,372,742x = 1,777,881,984 × 1,777,881,984
  4. Step 4: Simplify right side
    824,372,742x = 3,160,864,349,031,776,256
  5. Step 5: Solve for x
    x = 3,160,864,349,031,776,256/824,372,742
  6. Step 6: Final answer
    x = 3,834,265,967.31

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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.