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Finding the Third Proportional to 356,053,304,233.75 and 480,399,506,782.75

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Solution

The third proportional to 356,053,304,233.75 and 480,399,506,782.75 is: 648,171,729,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,053,304,233.75 : 480,399,506,782.75 = 480,399,506,782.75 : x
  2. Step 2: Convert to fraction form
    356,053,304,233.75/480,399,506,782.75 = 480,399,506,782.75/x
  3. Step 3: Cross multiply
    356,053,304,233.75x = 480,399,506,782.75 × 480,399,506,782.75
  4. Step 4: Simplify right side
    356,053,304,233.75x = 230,783,686,117,109,455,126,528
  5. Step 5: Solve for x
    x = 230,783,686,117,109,455,126,528/356,053,304,233.75
  6. Step 6: Final answer
    x = 648,171,729,830.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.