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Finding the Third Proportional to 31,477,514.63 and 68,074,300.13

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Solution

The third proportional to 31,477,514.63 and 68,074,300.13 is: 147,219,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477,514.63 : 68,074,300.13 = 68,074,300.13 : x
  2. Step 2: Convert to fraction form
    31,477,514.63/68,074,300.13 = 68,074,300.13/x
  3. Step 3: Cross multiply
    31,477,514.63x = 68,074,300.13 × 68,074,300.13
  4. Step 4: Simplify right side
    31,477,514.63x = 4,634,110,337,508,575
  5. Step 5: Solve for x
    x = 4,634,110,337,508,575/31,477,514.63
  6. Step 6: Final answer
    x = 147,219,702.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.