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Finding the Third Proportional to 54,822,624,364 and 73,968,592,650

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Solution

The third proportional to 54,822,624,364 and 73,968,592,650 is: 99,800,999,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822,624,364 : 73,968,592,650 = 73,968,592,650 : x
  2. Step 2: Convert to fraction form
    54,822,624,364/73,968,592,650 = 73,968,592,650/x
  3. Step 3: Cross multiply
    54,822,624,364x = 73,968,592,650 × 73,968,592,650
  4. Step 4: Simplify right side
    54,822,624,364x = 5,471,352,698,621,634,019,328
  5. Step 5: Solve for x
    x = 5,471,352,698,621,634,019,328/54,822,624,364
  6. Step 6: Final answer
    x = 99,800,999,351.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.