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Finding the Third Proportional to 270,115,200 and 549,776,448

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Solution

The third proportional to 270,115,200 and 549,776,448 is: 1,118,982,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,115,200 : 549,776,448 = 549,776,448 : x
  2. Step 2: Convert to fraction form
    270,115,200/549,776,448 = 549,776,448/x
  3. Step 3: Cross multiply
    270,115,200x = 549,776,448 × 549,776,448
  4. Step 4: Simplify right side
    270,115,200x = 302,254,142,775,496,704
  5. Step 5: Solve for x
    x = 302,254,142,775,496,704/270,115,200
  6. Step 6: Final answer
    x = 1,118,982,355.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.