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Finding the Third Proportional to 397,133,650.13 and 865,773,699.75

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Solution

The third proportional to 397,133,650.13 and 865,773,699.75 is: 1,887,435,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133,650.13 : 865,773,699.75 = 865,773,699.75 : x
  2. Step 2: Convert to fraction form
    397,133,650.13/865,773,699.75 = 865,773,699.75/x
  3. Step 3: Cross multiply
    397,133,650.13x = 865,773,699.75 × 865,773,699.75
  4. Step 4: Simplify right side
    397,133,650.13x = 749,564,099,178,803,200
  5. Step 5: Solve for x
    x = 749,564,099,178,803,200/397,133,650.13
  6. Step 6: Final answer
    x = 1,887,435,373.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.