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Finding the Third Proportional to 605,718,036,100 and 1,308,148,581,898

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Solution

The third proportional to 605,718,036,100 and 1,308,148,581,898 is: 2,825,163,872,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718,036,100 : 1,308,148,581,898 = 1,308,148,581,898 : x
  2. Step 2: Convert to fraction form
    605,718,036,100/1,308,148,581,898 = 1,308,148,581,898/x
  3. Step 3: Cross multiply
    605,718,036,100x = 1,308,148,581,898 × 1,308,148,581,898
  4. Step 4: Simplify right side
    605,718,036,100x = 1,711,252,712,321,748,383,563,776
  5. Step 5: Solve for x
    x = 1,711,252,712,321,748,383,563,776/605,718,036,100
  6. Step 6: Final answer
    x = 2,825,163,872,186.95

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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.