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Finding the Third Proportional to 605,718,036,124 and 1,308,148,581,944

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Solution

The third proportional to 605,718,036,124 and 1,308,148,581,944 is: 2,825,163,872,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718,036,124 : 1,308,148,581,944 = 1,308,148,581,944 : x
  2. Step 2: Convert to fraction form
    605,718,036,124/1,308,148,581,944 = 1,308,148,581,944/x
  3. Step 3: Cross multiply
    605,718,036,124x = 1,308,148,581,944 × 1,308,148,581,944
  4. Step 4: Simplify right side
    605,718,036,124x = 1,711,252,712,442,098,199,035,904
  5. Step 5: Solve for x
    x = 1,711,252,712,442,098,199,035,904/605,718,036,124
  6. Step 6: Final answer
    x = 2,825,163,872,273.70

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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.