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Finding the Third Proportional to 38,326,571,304 and 83,401,976,724

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Solution

The third proportional to 38,326,571,304 and 83,401,976,724 is: 181,490,007,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326,571,304 : 83,401,976,724 = 83,401,976,724 : x
  2. Step 2: Convert to fraction form
    38,326,571,304/83,401,976,724 = 83,401,976,724/x
  3. Step 3: Cross multiply
    38,326,571,304x = 83,401,976,724 × 83,401,976,724
  4. Step 4: Simplify right side
    38,326,571,304x = 6,955,889,721,470,637,572,096
  5. Step 5: Solve for x
    x = 6,955,889,721,470,637,572,096/38,326,571,304
  6. Step 6: Final answer
    x = 181,490,007,710.26

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