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Finding the Third Proportional to 75,444,774,363.50 and 153,106,454,858.50

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Solution

The third proportional to 75,444,774,363.50 and 153,106,454,858.50 is: 310,711,864,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,444,774,363.50 : 153,106,454,858.50 = 153,106,454,858.50 : x
  2. Step 2: Convert to fraction form
    75,444,774,363.50/153,106,454,858.50 = 153,106,454,858.50/x
  3. Step 3: Cross multiply
    75,444,774,363.50x = 153,106,454,858.50 × 153,106,454,858.50
  4. Step 4: Simplify right side
    75,444,774,363.50x = 23,441,586,519,337,898,868,736
  5. Step 5: Solve for x
    x = 23,441,586,519,337,898,868,736/75,444,774,363.50
  6. Step 6: Final answer
    x = 310,711,864,633.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.