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Finding the Third Proportional to 54,822,624,368 and 73,968,592,656

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Solution

The third proportional to 54,822,624,368 and 73,968,592,656 is: 99,800,999,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822,624,368 : 73,968,592,656 = 73,968,592,656 : x
  2. Step 2: Convert to fraction form
    54,822,624,368/73,968,592,656 = 73,968,592,656/x
  3. Step 3: Cross multiply
    54,822,624,368x = 73,968,592,656 × 73,968,592,656
  4. Step 4: Simplify right side
    54,822,624,368x = 5,471,352,699,509,256,749,056
  5. Step 5: Solve for x
    x = 5,471,352,699,509,256,749,056/54,822,624,368
  6. Step 6: Final answer
    x = 99,800,999,360.82

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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.