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Finding the Third Proportional to 3,810,748,464 and 8,254,725,483

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Solution

The third proportional to 3,810,748,464 and 8,254,725,483 is: 17,881,131,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,748,464 : 8,254,725,483 = 8,254,725,483 : x
  2. Step 2: Convert to fraction form
    3,810,748,464/8,254,725,483 = 8,254,725,483/x
  3. Step 3: Cross multiply
    3,810,748,464x = 8,254,725,483 × 8,254,725,483
  4. Step 4: Simplify right side
    3,810,748,464x = 68,140,492,799,689,580,544
  5. Step 5: Solve for x
    x = 68,140,492,799,689,580,544/3,810,748,464
  6. Step 6: Final answer
    x = 17,881,131,080.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.