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Finding the Third Proportional to 865,243,077,928.50 and 1,271,945,707,879.50

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Solution

The third proportional to 865,243,077,928.50 and 1,271,945,707,879.50 is: 1,869,816,615,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,243,077,928.50 : 1,271,945,707,879.50 = 1,271,945,707,879.50 : x
  2. Step 2: Convert to fraction form
    865,243,077,928.50/1,271,945,707,879.50 = 1,271,945,707,879.50/x
  3. Step 3: Cross multiply
    865,243,077,928.50x = 1,271,945,707,879.50 × 1,271,945,707,879.50
  4. Step 4: Simplify right side
    865,243,077,928.50x = 1,617,845,883,793,082,381,500,416
  5. Step 5: Solve for x
    x = 1,617,845,883,793,082,381,500,416/865,243,077,928.50
  6. Step 6: Final answer
    x = 1,869,816,615,772.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.