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Finding the Third Proportional to 401,729,256,595.14 and 867,364,908,048

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Solution

The third proportional to 401,729,256,595.14 and 867,364,908,048 is: 1,872,708,724,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,729,256,595.14 : 867,364,908,048 = 867,364,908,048 : x
  2. Step 2: Convert to fraction form
    401,729,256,595.14/867,364,908,048 = 867,364,908,048/x
  3. Step 3: Cross multiply
    401,729,256,595.14x = 867,364,908,048 × 867,364,908,048
  4. Step 4: Simplify right side
    401,729,256,595.14x = 752,321,883,713,115,514,732,544
  5. Step 5: Solve for x
    x = 752,321,883,713,115,514,732,544/401,729,256,595.14
  6. Step 6: Final answer
    x = 1,872,708,724,501.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.