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Finding the Third Proportional to 1,633,970,197,881.50 and 3,575,745,974,313.50

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Solution

The third proportional to 1,633,970,197,881.50 and 3,575,745,974,313.50 is: 7,825,087,195,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,970,197,881.50 : 3,575,745,974,313.50 = 3,575,745,974,313.50 : x
  2. Step 2: Convert to fraction form
    1,633,970,197,881.50/3,575,745,974,313.50 = 3,575,745,974,313.50/x
  3. Step 3: Cross multiply
    1,633,970,197,881.50x = 3,575,745,974,313.50 × 3,575,745,974,313.50
  4. Step 4: Simplify right side
    1,633,970,197,881.50x = 12,785,959,272,819,201,272,709,120
  5. Step 5: Solve for x
    x = 12,785,959,272,819,201,272,709,120/1,633,970,197,881.50
  6. Step 6: Final answer
    x = 7,825,087,195,223.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.