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Finding the Third Proportional to 214,719,572,944 and 320,217,335,928

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Solution

The third proportional to 214,719,572,944 and 320,217,335,928 is: 477,549,115,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,719,572,944 : 320,217,335,928 = 320,217,335,928 : x
  2. Step 2: Convert to fraction form
    214,719,572,944/320,217,335,928 = 320,217,335,928/x
  3. Step 3: Cross multiply
    214,719,572,944x = 320,217,335,928 × 320,217,335,928
  4. Step 4: Simplify right side
    214,719,572,944x = 102,539,142,228,825,599,901,696
  5. Step 5: Solve for x
    x = 102,539,142,228,825,599,901,696/214,719,572,944
  6. Step 6: Final answer
    x = 477,549,115,913.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.