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Finding the Third Proportional to 310,795,756,041.24 and 676,318,794,480.25

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Solution

The third proportional to 310,795,756,041.24 and 676,318,794,480.25 is: 1,471,728,950,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,795,756,041.24 : 676,318,794,480.25 = 676,318,794,480.25 : x
  2. Step 2: Convert to fraction form
    310,795,756,041.24/676,318,794,480.25 = 676,318,794,480.25/x
  3. Step 3: Cross multiply
    310,795,756,041.24x = 676,318,794,480.25 × 676,318,794,480.25
  4. Step 4: Simplify right side
    310,795,756,041.24x = 457,407,111,767,218,636,980,224
  5. Step 5: Solve for x
    x = 457,407,111,767,218,636,980,224/310,795,756,041.24
  6. Step 6: Final answer
    x = 1,471,728,950,206.53

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Why These Related Problems?

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