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Finding the Third Proportional to 558,623,312 and 1,213,939,728

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Solution

The third proportional to 558,623,312 and 1,213,939,728 is: 2,638,002,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,623,312 : 1,213,939,728 = 1,213,939,728 : x
  2. Step 2: Convert to fraction form
    558,623,312/1,213,939,728 = 1,213,939,728/x
  3. Step 3: Cross multiply
    558,623,312x = 1,213,939,728 × 1,213,939,728
  4. Step 4: Simplify right side
    558,623,312x = 1,473,649,663,216,713,984
  5. Step 5: Solve for x
    x = 1,473,649,663,216,713,984/558,623,312
  6. Step 6: Final answer
    x = 2,638,002,445.58

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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.