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Finding the Third Proportional to 9,761,303,307.75 and 13,746,066,057

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Solution

The third proportional to 9,761,303,307.75 and 13,746,066,057 is: 19,357,490,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761,303,307.75 : 13,746,066,057 = 13,746,066,057 : x
  2. Step 2: Convert to fraction form
    9,761,303,307.75/13,746,066,057 = 13,746,066,057/x
  3. Step 3: Cross multiply
    9,761,303,307.75x = 13,746,066,057 × 13,746,066,057
  4. Step 4: Simplify right side
    9,761,303,307.75x = 188,954,332,043,407,523,840
  5. Step 5: Solve for x
    x = 188,954,332,043,407,523,840/9,761,303,307.75
  6. Step 6: Final answer
    x = 19,357,490,089.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.