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Finding the Third Proportional to 77,486,024,556 and 110,805,147,070

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Solution

The third proportional to 77,486,024,556 and 110,805,147,070 is: 158,451,549,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486,024,556 : 110,805,147,070 = 110,805,147,070 : x
  2. Step 2: Convert to fraction form
    77,486,024,556/110,805,147,070 = 110,805,147,070/x
  3. Step 3: Cross multiply
    77,486,024,556x = 110,805,147,070 × 110,805,147,070
  4. Step 4: Simplify right side
    77,486,024,556x = 12,277,780,617,204,330,397,696
  5. Step 5: Solve for x
    x = 12,277,780,617,204,330,397,696/77,486,024,556
  6. Step 6: Final answer
    x = 158,451,549,005.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.