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Finding the Third Proportional to 133,891,140,866 and 291,317,126,746

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Solution

The third proportional to 133,891,140,866 and 291,317,126,746 is: 633,840,803,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,891,140,866 : 291,317,126,746 = 291,317,126,746 : x
  2. Step 2: Convert to fraction form
    133,891,140,866/291,317,126,746 = 291,317,126,746/x
  3. Step 3: Cross multiply
    133,891,140,866x = 291,317,126,746 × 291,317,126,746
  4. Step 4: Simplify right side
    133,891,140,866x = 84,865,668,335,545,035,522,048
  5. Step 5: Solve for x
    x = 84,865,668,335,545,035,522,048/133,891,140,866
  6. Step 6: Final answer
    x = 633,840,803,705.45

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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.