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Finding the Third Proportional to 707,758,054.69 and 1,551,565,005.38

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Solution

The third proportional to 707,758,054.69 and 1,551,565,005.38 is: 3,401,379,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,758,054.69 : 1,551,565,005.38 = 1,551,565,005.38 : x
  2. Step 2: Convert to fraction form
    707,758,054.69/1,551,565,005.38 = 1,551,565,005.38/x
  3. Step 3: Cross multiply
    707,758,054.69x = 1,551,565,005.38 × 1,551,565,005.38
  4. Step 4: Simplify right side
    707,758,054.69x = 2,407,353,965,904,323,584
  5. Step 5: Solve for x
    x = 2,407,353,965,904,323,584/707,758,054.69
  6. Step 6: Final answer
    x = 3,401,379,821.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.