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Finding the Third Proportional to 685,350,181.50 and 1,059,464,005.50

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Solution

The third proportional to 685,350,181.50 and 1,059,464,005.50 is: 1,637,796,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,350,181.50 : 1,059,464,005.50 = 1,059,464,005.50 : x
  2. Step 2: Convert to fraction form
    685,350,181.50/1,059,464,005.50 = 1,059,464,005.50/x
  3. Step 3: Cross multiply
    685,350,181.50x = 1,059,464,005.50 × 1,059,464,005.50
  4. Step 4: Simplify right side
    685,350,181.50x = 1,122,463,978,950,104,064
  5. Step 5: Solve for x
    x = 1,122,463,978,950,104,064/685,350,181.50
  6. Step 6: Final answer
    x = 1,637,796,281.74

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