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Finding the Third Proportional to 813,441,944 and 1,145,505,507

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Solution

The third proportional to 813,441,944 and 1,145,505,507 is: 1,613,124,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,441,944 : 1,145,505,507 = 1,145,505,507 : x
  2. Step 2: Convert to fraction form
    813,441,944/1,145,505,507 = 1,145,505,507/x
  3. Step 3: Cross multiply
    813,441,944x = 1,145,505,507 × 1,145,505,507
  4. Step 4: Simplify right side
    813,441,944x = 1,312,182,866,567,326,976
  5. Step 5: Solve for x
    x = 1,312,182,866,567,326,976/813,441,944
  6. Step 6: Final answer
    x = 1,613,124,177.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.