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Finding the Third Proportional to 359,905,011,616 and 773,974,489,964

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Solution

The third proportional to 359,905,011,616 and 773,974,489,964 is: 1,664,429,479,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,905,011,616 : 773,974,489,964 = 773,974,489,964 : x
  2. Step 2: Convert to fraction form
    359,905,011,616/773,974,489,964 = 773,974,489,964/x
  3. Step 3: Cross multiply
    359,905,011,616x = 773,974,489,964 × 773,974,489,964
  4. Step 4: Simplify right side
    359,905,011,616x = 599,036,511,115,033,943,474,176
  5. Step 5: Solve for x
    x = 599,036,511,115,033,943,474,176/359,905,011,616
  6. Step 6: Final answer
    x = 1,664,429,479,393.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.