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Finding the Third Proportional to 19,185,927,744 and 42,783,321,984

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Solution

The third proportional to 19,185,927,744 and 42,783,321,984 is: 95,403,916,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185,927,744 : 42,783,321,984 = 42,783,321,984 : x
  2. Step 2: Convert to fraction form
    19,185,927,744/42,783,321,984 = 42,783,321,984/x
  3. Step 3: Cross multiply
    19,185,927,744x = 42,783,321,984 × 42,783,321,984
  4. Step 4: Simplify right side
    19,185,927,744x = 1,830,412,639,986,617,679,872
  5. Step 5: Solve for x
    x = 1,830,412,639,986,617,679,872/19,185,927,744
  6. Step 6: Final answer
    x = 95,403,916,058.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.