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Finding the Third Proportional to 524,588,496.19 and 1,130,894,353.69

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Solution

The third proportional to 524,588,496.19 and 1,130,894,353.69 is: 2,437,952,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,588,496.19 : 1,130,894,353.69 = 1,130,894,353.69 : x
  2. Step 2: Convert to fraction form
    524,588,496.19/1,130,894,353.69 = 1,130,894,353.69/x
  3. Step 3: Cross multiply
    524,588,496.19x = 1,130,894,353.69 × 1,130,894,353.69
  4. Step 4: Simplify right side
    524,588,496.19x = 1,278,922,039,202,268,416
  5. Step 5: Solve for x
    x = 1,278,922,039,202,268,416/524,588,496.19
  6. Step 6: Final answer
    x = 2,437,952,887.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.