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Finding the Third Proportional to 39,446,826,412.50 and 84,478,982,553

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Solution

The third proportional to 39,446,826,412.50 and 84,478,982,553 is: 180,919,458,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,446,826,412.50 : 84,478,982,553 = 84,478,982,553 : x
  2. Step 2: Convert to fraction form
    39,446,826,412.50/84,478,982,553 = 84,478,982,553/x
  3. Step 3: Cross multiply
    39,446,826,412.50x = 84,478,982,553 × 84,478,982,553
  4. Step 4: Simplify right side
    39,446,826,412.50x = 7,136,698,493,190,077,939,712
  5. Step 5: Solve for x
    x = 7,136,698,493,190,077,939,712/39,446,826,412.50
  6. Step 6: Final answer
    x = 180,919,458,984.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.