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Finding the Third Proportional to 605,718,036,106 and 1,308,148,581,910

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Solution

The third proportional to 605,718,036,106 and 1,308,148,581,910 is: 2,825,163,872,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718,036,106 : 1,308,148,581,910 = 1,308,148,581,910 : x
  2. Step 2: Convert to fraction form
    605,718,036,106/1,308,148,581,910 = 1,308,148,581,910/x
  3. Step 3: Cross multiply
    605,718,036,106x = 1,308,148,581,910 × 1,308,148,581,910
  4. Step 4: Simplify right side
    605,718,036,106x = 1,711,252,712,353,144,057,626,624
  5. Step 5: Solve for x
    x = 1,711,252,712,353,144,057,626,624/605,718,036,106
  6. Step 6: Final answer
    x = 2,825,163,872,210.79

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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.