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Finding the Third Proportional to 397,133,647.50 and 865,773,693.50

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Solution

The third proportional to 397,133,647.50 and 865,773,693.50 is: 1,887,435,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133,647.50 : 865,773,693.50 = 865,773,693.50 : x
  2. Step 2: Convert to fraction form
    397,133,647.50/865,773,693.50 = 865,773,693.50/x
  3. Step 3: Cross multiply
    397,133,647.50x = 865,773,693.50 × 865,773,693.50
  4. Step 4: Simplify right side
    397,133,647.50x = 749,564,088,356,631,936
  5. Step 5: Solve for x
    x = 749,564,088,356,631,936/397,133,647.50
  6. Step 6: Final answer
    x = 1,887,435,358.54

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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.