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Finding the Third Proportional to 356,128,464,386 and 768,043,904,548

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Solution

The third proportional to 356,128,464,386 and 768,043,904,548 is: 1,656,400,704,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,128,464,386 : 768,043,904,548 = 768,043,904,548 : x
  2. Step 2: Convert to fraction form
    356,128,464,386/768,043,904,548 = 768,043,904,548/x
  3. Step 3: Cross multiply
    356,128,464,386x = 768,043,904,548 × 768,043,904,548
  4. Step 4: Simplify right side
    356,128,464,386x = 589,891,439,313,337,333,055,488
  5. Step 5: Solve for x
    x = 589,891,439,313,337,333,055,488/356,128,464,386
  6. Step 6: Final answer
    x = 1,656,400,704,533.31

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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.