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Finding the Third Proportional to 43,328,213,977 and 94,348,464,347

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Solution

The third proportional to 43,328,213,977 and 94,348,464,347 is: 205,446,564,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,328,213,977 : 94,348,464,347 = 94,348,464,347 : x
  2. Step 2: Convert to fraction form
    43,328,213,977/94,348,464,347 = 94,348,464,347/x
  3. Step 3: Cross multiply
    43,328,213,977x = 94,348,464,347 × 94,348,464,347
  4. Step 4: Simplify right side
    43,328,213,977x = 8,901,632,724,637,130,424,320
  5. Step 5: Solve for x
    x = 8,901,632,724,637,130,424,320/43,328,213,977
  6. Step 6: Final answer
    x = 205,446,564,895.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.