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Finding the Third Proportional to 499,952,341.13 and 1,087,916,501.25

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Solution

The third proportional to 499,952,341.13 and 1,087,916,501.25 is: 2,367,350,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,952,341.13 : 1,087,916,501.25 = 1,087,916,501.25 : x
  2. Step 2: Convert to fraction form
    499,952,341.13/1,087,916,501.25 = 1,087,916,501.25/x
  3. Step 3: Cross multiply
    499,952,341.13x = 1,087,916,501.25 × 1,087,916,501.25
  4. Step 4: Simplify right side
    499,952,341.13x = 1,183,562,313,692,041,216
  5. Step 5: Solve for x
    x = 1,183,562,313,692,041,216/499,952,341.13
  6. Step 6: Final answer
    x = 2,367,350,277.89

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Why These Related Problems?

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