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Finding the Third Proportional to 707,758,057 and 1,551,565,010

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Solution

The third proportional to 707,758,057 and 1,551,565,010 is: 3,401,379,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,758,057 : 1,551,565,010 = 1,551,565,010 : x
  2. Step 2: Convert to fraction form
    707,758,057/1,551,565,010 = 1,551,565,010/x
  3. Step 3: Cross multiply
    707,758,057x = 1,551,565,010 × 1,551,565,010
  4. Step 4: Simplify right side
    707,758,057x = 2,407,353,980,256,300,032
  5. Step 5: Solve for x
    x = 2,407,353,980,256,300,032/707,758,057
  6. Step 6: Final answer
    x = 3,401,379,830.93

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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.