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Finding the Third Proportional to 248,315,300 and 526,887,014

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Solution

The third proportional to 248,315,300 and 526,887,014 is: 1,117,973,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,315,300 : 526,887,014 = 526,887,014 : x
  2. Step 2: Convert to fraction form
    248,315,300/526,887,014 = 526,887,014/x
  3. Step 3: Cross multiply
    248,315,300x = 526,887,014 × 526,887,014
  4. Step 4: Simplify right side
    248,315,300x = 277,609,925,521,836,192
  5. Step 5: Solve for x
    x = 277,609,925,521,836,192/248,315,300
  6. Step 6: Final answer
    x = 1,117,973,501.92

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Why These Related Problems?

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