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Finding the Third Proportional to 56,117,643,560 and 122,114,254,476

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Solution

The third proportional to 56,117,643,560 and 122,114,254,476 is: 265,725,540,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117,643,560 : 122,114,254,476 = 122,114,254,476 : x
  2. Step 2: Convert to fraction form
    56,117,643,560/122,114,254,476 = 122,114,254,476/x
  3. Step 3: Cross multiply
    56,117,643,560x = 122,114,254,476 × 122,114,254,476
  4. Step 4: Simplify right side
    56,117,643,560x = 14,911,891,146,229,285,912,576
  5. Step 5: Solve for x
    x = 14,911,891,146,229,285,912,576/56,117,643,560
  6. Step 6: Final answer
    x = 265,725,540,137.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.