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Finding the Third Proportional to 10,556,118,004.50 and 15,489,080,415

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Solution

The third proportional to 10,556,118,004.50 and 15,489,080,415 is: 22,727,257,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556,118,004.50 : 15,489,080,415 = 15,489,080,415 : x
  2. Step 2: Convert to fraction form
    10,556,118,004.50/15,489,080,415 = 15,489,080,415/x
  3. Step 3: Cross multiply
    10,556,118,004.50x = 15,489,080,415 × 15,489,080,415
  4. Step 4: Simplify right side
    10,556,118,004.50x = 239,911,612,102,336,577,536
  5. Step 5: Solve for x
    x = 239,911,612,102,336,577,536/10,556,118,004.50
  6. Step 6: Final answer
    x = 22,727,257,501.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.