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Finding the Third Proportional to 846,441,897,224 and 1,827,534,305,296

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Solution

The third proportional to 846,441,897,224 and 1,827,534,305,296 is: 3,945,789,602,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,441,897,224 : 1,827,534,305,296 = 1,827,534,305,296 : x
  2. Step 2: Convert to fraction form
    846,441,897,224/1,827,534,305,296 = 1,827,534,305,296/x
  3. Step 3: Cross multiply
    846,441,897,224x = 1,827,534,305,296 × 1,827,534,305,296
  4. Step 4: Simplify right side
    846,441,897,224x = 3,339,881,637,033,733,177,475,072
  5. Step 5: Solve for x
    x = 3,339,881,637,033,733,177,475,072/846,441,897,224
  6. Step 6: Final answer
    x = 3,945,789,602,319.13

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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.