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Finding the Third Proportional to 605,718,036,115 and 1,308,148,581,924.50

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Solution

The third proportional to 605,718,036,115 and 1,308,148,581,924.50 is: 2,825,163,872,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718,036,115 : 1,308,148,581,924.50 = 1,308,148,581,924.50 : x
  2. Step 2: Convert to fraction form
    605,718,036,115/1,308,148,581,924.50 = 1,308,148,581,924.50/x
  3. Step 3: Cross multiply
    605,718,036,115x = 1,308,148,581,924.50 × 1,308,148,581,924.50
  4. Step 4: Simplify right side
    605,718,036,115x = 1,711,252,712,391,080,161,574,912
  5. Step 5: Solve for x
    x = 1,711,252,712,391,080,161,574,912/605,718,036,115
  6. Step 6: Final answer
    x = 2,825,163,872,231.45

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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.