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Finding the Third Proportional to 2,386,128,594 and 5,185,286,502

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Solution

The third proportional to 2,386,128,594 and 5,185,286,502 is: 11,268,125,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,128,594 : 5,185,286,502 = 5,185,286,502 : x
  2. Step 2: Convert to fraction form
    2,386,128,594/5,185,286,502 = 5,185,286,502/x
  3. Step 3: Cross multiply
    2,386,128,594x = 5,185,286,502 × 5,185,286,502
  4. Step 4: Simplify right side
    2,386,128,594x = 26,887,196,107,823,394,816
  5. Step 5: Solve for x
    x = 26,887,196,107,823,394,816/2,386,128,594
  6. Step 6: Final answer
    x = 11,268,125,353.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.