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Finding the Third Proportional to 487,933,864.63 and 743,341,268.63

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Solution

The third proportional to 487,933,864.63 and 743,341,268.63 is: 1,132,440,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,933,864.63 : 743,341,268.63 = 743,341,268.63 : x
  2. Step 2: Convert to fraction form
    487,933,864.63/743,341,268.63 = 743,341,268.63/x
  3. Step 3: Cross multiply
    487,933,864.63x = 743,341,268.63 × 743,341,268.63
  4. Step 4: Simplify right side
    487,933,864.63x = 552,556,241,641,024,384
  5. Step 5: Solve for x
    x = 552,556,241,641,024,384/487,933,864.63
  6. Step 6: Final answer
    x = 1,132,440,852.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.