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Finding the Third Proportional to 2,087,056,132 and 4,549,133,224

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Solution

The third proportional to 2,087,056,132 and 4,549,133,224 is: 9,915,695,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,056,132 : 4,549,133,224 = 4,549,133,224 : x
  2. Step 2: Convert to fraction form
    2,087,056,132/4,549,133,224 = 4,549,133,224/x
  3. Step 3: Cross multiply
    2,087,056,132x = 4,549,133,224 × 4,549,133,224
  4. Step 4: Simplify right side
    2,087,056,132x = 20,694,613,089,700,634,624
  5. Step 5: Solve for x
    x = 20,694,613,089,700,634,624/2,087,056,132
  6. Step 6: Final answer
    x = 9,915,695,496.83

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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.