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Finding the Third Proportional to 3,654,512,656 and 5,415,402,768

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Solution

The third proportional to 3,654,512,656 and 5,415,402,768 is: 8,024,760,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654,512,656 : 5,415,402,768 = 5,415,402,768 : x
  2. Step 2: Convert to fraction form
    3,654,512,656/5,415,402,768 = 5,415,402,768/x
  3. Step 3: Cross multiply
    3,654,512,656x = 5,415,402,768 × 5,415,402,768
  4. Step 4: Simplify right side
    3,654,512,656x = 29,326,587,139,662,061,568
  5. Step 5: Solve for x
    x = 29,326,587,139,662,061,568/3,654,512,656
  6. Step 6: Final answer
    x = 8,024,760,043.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.