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Finding the Third Proportional to 65,837,345.63 and 143,264,724.75

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Solution

The third proportional to 65,837,345.63 and 143,264,724.75 is: 311,749,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,837,345.63 : 143,264,724.75 = 143,264,724.75 : x
  2. Step 2: Convert to fraction form
    65,837,345.63/143,264,724.75 = 143,264,724.75/x
  3. Step 3: Cross multiply
    65,837,345.63x = 143,264,724.75 × 143,264,724.75
  4. Step 4: Simplify right side
    65,837,345.63x = 20,524,781,357,693,264
  5. Step 5: Solve for x
    x = 20,524,781,357,693,264/65,837,345.63
  6. Step 6: Final answer
    x = 311,749,830.78

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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.