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Finding the Third Proportional to 2,197,757,936 and 4,714,556,310

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Solution

The third proportional to 2,197,757,936 and 4,714,556,310 is: 10,113,507,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,757,936 : 4,714,556,310 = 4,714,556,310 : x
  2. Step 2: Convert to fraction form
    2,197,757,936/4,714,556,310 = 4,714,556,310/x
  3. Step 3: Cross multiply
    2,197,757,936x = 4,714,556,310 × 4,714,556,310
  4. Step 4: Simplify right side
    2,197,757,936x = 22,227,041,200,160,817,152
  5. Step 5: Solve for x
    x = 22,227,041,200,160,817,152/2,197,757,936
  6. Step 6: Final answer
    x = 10,113,507,423.21

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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.