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Finding the Third Proportional to 2,692,345,054.50 and 4,135,771,656

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Solution

The third proportional to 2,692,345,054.50 and 4,135,771,656 is: 6,353,051,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,345,054.50 : 4,135,771,656 = 4,135,771,656 : x
  2. Step 2: Convert to fraction form
    2,692,345,054.50/4,135,771,656 = 4,135,771,656/x
  3. Step 3: Cross multiply
    2,692,345,054.50x = 4,135,771,656 × 4,135,771,656
  4. Step 4: Simplify right side
    2,692,345,054.50x = 17,104,607,190,572,982,272
  5. Step 5: Solve for x
    x = 17,104,607,190,572,982,272/2,692,345,054.50
  6. Step 6: Final answer
    x = 6,353,051,649.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.