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Finding the Third Proportional to 462,116,389.50 and 1,027,555,405.50

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Solution

The third proportional to 462,116,389.50 and 1,027,555,405.50 is: 2,284,857,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,116,389.50 : 1,027,555,405.50 = 1,027,555,405.50 : x
  2. Step 2: Convert to fraction form
    462,116,389.50/1,027,555,405.50 = 1,027,555,405.50/x
  3. Step 3: Cross multiply
    462,116,389.50x = 1,027,555,405.50 × 1,027,555,405.50
  4. Step 4: Simplify right side
    462,116,389.50x = 1,055,870,111,372,269,440
  5. Step 5: Solve for x
    x = 1,055,870,111,372,269,440/462,116,389.50
  6. Step 6: Final answer
    x = 2,284,857,528.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.