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Finding the Third Proportional to 2,386,128,597 and 5,185,286,508

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Solution

The third proportional to 2,386,128,597 and 5,185,286,508 is: 11,268,125,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,128,597 : 5,185,286,508 = 5,185,286,508 : x
  2. Step 2: Convert to fraction form
    2,386,128,597/5,185,286,508 = 5,185,286,508/x
  3. Step 3: Cross multiply
    2,386,128,597x = 5,185,286,508 × 5,185,286,508
  4. Step 4: Simplify right side
    2,386,128,597x = 26,887,196,170,046,832,640
  5. Step 5: Solve for x
    x = 26,887,196,170,046,832,640/2,386,128,597
  6. Step 6: Final answer
    x = 11,268,125,365.85

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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.