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Finding the Third Proportional to 54,428,768,718 and 75,678,852,259

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Solution

The third proportional to 54,428,768,718 and 75,678,852,259 is: 105,225,394,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428,768,718 : 75,678,852,259 = 75,678,852,259 : x
  2. Step 2: Convert to fraction form
    54,428,768,718/75,678,852,259 = 75,678,852,259/x
  3. Step 3: Cross multiply
    54,428,768,718x = 75,678,852,259 × 75,678,852,259
  4. Step 4: Simplify right side
    54,428,768,718x = 5,727,288,679,239,549,714,432
  5. Step 5: Solve for x
    x = 5,727,288,679,239,549,714,432/54,428,768,718
  6. Step 6: Final answer
    x = 105,225,394,844.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.