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Finding the Third Proportional to 974,539,849 and 2,104,404,448

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Solution

The third proportional to 974,539,849 and 2,104,404,448 is: 4,544,214,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,539,849 : 2,104,404,448 = 2,104,404,448 : x
  2. Step 2: Convert to fraction form
    974,539,849/2,104,404,448 = 2,104,404,448/x
  3. Step 3: Cross multiply
    974,539,849x = 2,104,404,448 × 2,104,404,448
  4. Step 4: Simplify right side
    974,539,849x = 4,428,518,080,762,184,704
  5. Step 5: Solve for x
    x = 4,428,518,080,762,184,704/974,539,849
  6. Step 6: Final answer
    x = 4,544,214,467.28

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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.