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Finding the Third Proportional to 974,539,842 and 2,104,404,434

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Solution

The third proportional to 974,539,842 and 2,104,404,434 is: 4,544,214,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,539,842 : 2,104,404,434 = 2,104,404,434 : x
  2. Step 2: Convert to fraction form
    974,539,842/2,104,404,434 = 2,104,404,434/x
  3. Step 3: Cross multiply
    974,539,842x = 2,104,404,434 × 2,104,404,434
  4. Step 4: Simplify right side
    974,539,842x = 4,428,518,021,838,860,288
  5. Step 5: Solve for x
    x = 4,428,518,021,838,860,288/974,539,842
  6. Step 6: Final answer
    x = 4,544,214,439.45

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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.