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Finding the Third Proportional to 1,376,174,301,048 and 1,913,460,364,128

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Solution

The third proportional to 1,376,174,301,048 and 1,913,460,364,128 is: 2,660,513,688,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,174,301,048 : 1,913,460,364,128 = 1,913,460,364,128 : x
  2. Step 2: Convert to fraction form
    1,376,174,301,048/1,913,460,364,128 = 1,913,460,364,128/x
  3. Step 3: Cross multiply
    1,376,174,301,048x = 1,913,460,364,128 × 1,913,460,364,128
  4. Step 4: Simplify right side
    1,376,174,301,048x = 3,661,330,565,088,858,458,816,512
  5. Step 5: Solve for x
    x = 3,661,330,565,088,858,458,816,512/1,376,174,301,048
  6. Step 6: Final answer
    x = 2,660,513,688,055.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.