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Finding the Third Proportional to 6,567,178,752 and 10,177,318,953

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Solution

The third proportional to 6,567,178,752 and 10,177,318,953 is: 15,772,042,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567,178,752 : 10,177,318,953 = 10,177,318,953 : x
  2. Step 2: Convert to fraction form
    6,567,178,752/10,177,318,953 = 10,177,318,953/x
  3. Step 3: Cross multiply
    6,567,178,752x = 10,177,318,953 × 10,177,318,953
  4. Step 4: Simplify right side
    6,567,178,752x = 103,577,821,071,093,022,720
  5. Step 5: Solve for x
    x = 103,577,821,071,093,022,720/6,567,178,752
  6. Step 6: Final answer
    x = 15,772,042,300.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.