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Finding the Third Proportional to 248,315,297 and 526,887,009

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Solution

The third proportional to 248,315,297 and 526,887,009 is: 1,117,973,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,315,297 : 526,887,009 = 526,887,009 : x
  2. Step 2: Convert to fraction form
    248,315,297/526,887,009 = 526,887,009/x
  3. Step 3: Cross multiply
    248,315,297x = 526,887,009 × 526,887,009
  4. Step 4: Simplify right side
    248,315,297x = 277,609,920,252,966,080
  5. Step 5: Solve for x
    x = 277,609,920,252,966,080/248,315,297
  6. Step 6: Final answer
    x = 1,117,973,494.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.