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Finding the Third Proportional to 605,718,036,100.50 and 1,308,148,581,900

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Solution

The third proportional to 605,718,036,100.50 and 1,308,148,581,900 is: 2,825,163,872,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718,036,100.50 : 1,308,148,581,900 = 1,308,148,581,900 : x
  2. Step 2: Convert to fraction form
    605,718,036,100.50/1,308,148,581,900 = 1,308,148,581,900/x
  3. Step 3: Cross multiply
    605,718,036,100.50x = 1,308,148,581,900 × 1,308,148,581,900
  4. Step 4: Simplify right side
    605,718,036,100.50x = 1,711,252,712,326,980,995,907,584
  5. Step 5: Solve for x
    x = 1,711,252,712,326,980,995,907,584/605,718,036,100.50
  6. Step 6: Final answer
    x = 2,825,163,872,193.25

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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.