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Finding the Third Proportional to 646,855,081.50 and 1,407,045,861.75

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Solution

The third proportional to 646,855,081.50 and 1,407,045,861.75 is: 3,060,620,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,855,081.50 : 1,407,045,861.75 = 1,407,045,861.75 : x
  2. Step 2: Convert to fraction form
    646,855,081.50/1,407,045,861.75 = 1,407,045,861.75/x
  3. Step 3: Cross multiply
    646,855,081.50x = 1,407,045,861.75 × 1,407,045,861.75
  4. Step 4: Simplify right side
    646,855,081.50x = 1,979,778,057,067,800,064
  5. Step 5: Solve for x
    x = 1,979,778,057,067,800,064/646,855,081.50
  6. Step 6: Final answer
    x = 3,060,620,707.31

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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.