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Finding the Third Proportional to 4,674,908,446,884 and 10,053,374,539,802

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Solution

The third proportional to 4,674,908,446,884 and 10,053,374,539,802 is: 21,619,747,378,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,908,446,884 : 10,053,374,539,802 = 10,053,374,539,802 : x
  2. Step 2: Convert to fraction form
    4,674,908,446,884/10,053,374,539,802 = 10,053,374,539,802/x
  3. Step 3: Cross multiply
    4,674,908,446,884x = 10,053,374,539,802 × 10,053,374,539,802
  4. Step 4: Simplify right side
    4,674,908,446,884x = 101,070,339,637,539,078,255,149,056
  5. Step 5: Solve for x
    x = 101,070,339,637,539,078,255,149,056/4,674,908,446,884
  6. Step 6: Final answer
    x = 21,619,747,378,134.48

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Why These Related Problems?

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