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Finding the Third Proportional to 356,128,464,348 and 768,043,904,472

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Solution

The third proportional to 356,128,464,348 and 768,043,904,472 is: 1,656,400,704,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,128,464,348 : 768,043,904,472 = 768,043,904,472 : x
  2. Step 2: Convert to fraction form
    356,128,464,348/768,043,904,472 = 768,043,904,472/x
  3. Step 3: Cross multiply
    356,128,464,348x = 768,043,904,472 × 768,043,904,472
  4. Step 4: Simplify right side
    356,128,464,348x = 589,891,439,196,594,686,132,224
  5. Step 5: Solve for x
    x = 589,891,439,196,594,686,132,224/356,128,464,348
  6. Step 6: Final answer
    x = 1,656,400,704,382.25

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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.