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Finding the Third Proportional to 4,674,908,448,774 and 10,053,374,543,370

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Solution

The third proportional to 4,674,908,448,774 and 10,053,374,543,370 is: 21,619,747,384,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,908,448,774 : 10,053,374,543,370 = 10,053,374,543,370 : x
  2. Step 2: Convert to fraction form
    4,674,908,448,774/10,053,374,543,370 = 10,053,374,543,370/x
  3. Step 3: Cross multiply
    4,674,908,448,774x = 10,053,374,543,370 × 10,053,374,543,370
  4. Step 4: Simplify right side
    4,674,908,448,774x = 101,070,339,709,279,961,404,669,952
  5. Step 5: Solve for x
    x = 101,070,339,709,279,961,404,669,952/4,674,908,448,774
  6. Step 6: Final answer
    x = 21,619,747,384,739.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.