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Finding the Third Proportional to 480,527,502,417 and 654,396,437,953.50

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Solution

The third proportional to 480,527,502,417 and 654,396,437,953.50 is: 891,176,250,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,527,502,417 : 654,396,437,953.50 = 654,396,437,953.50 : x
  2. Step 2: Convert to fraction form
    480,527,502,417/654,396,437,953.50 = 654,396,437,953.50/x
  3. Step 3: Cross multiply
    480,527,502,417x = 654,396,437,953.50 × 654,396,437,953.50
  4. Step 4: Simplify right side
    480,527,502,417x = 428,234,698,006,228,941,930,496
  5. Step 5: Solve for x
    x = 428,234,698,006,228,941,930,496/480,527,502,417
  6. Step 6: Final answer
    x = 891,176,250,791.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.