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Finding the Third Proportional to 1,233,506,387 and 2,693,050,036

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Solution

The third proportional to 1,233,506,387 and 2,693,050,036 is: 5,879,595,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,506,387 : 2,693,050,036 = 2,693,050,036 : x
  2. Step 2: Convert to fraction form
    1,233,506,387/2,693,050,036 = 2,693,050,036/x
  3. Step 3: Cross multiply
    1,233,506,387x = 2,693,050,036 × 2,693,050,036
  4. Step 4: Simplify right side
    1,233,506,387x = 7,252,518,496,399,601,664
  5. Step 5: Solve for x
    x = 7,252,518,496,399,601,664/1,233,506,387
  6. Step 6: Final answer
    x = 5,879,595,414.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.