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Finding the Third Proportional to 565,797,314 and 1,236,778,312

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Solution

The third proportional to 565,797,314 and 1,236,778,312 is: 2,703,478,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,797,314 : 1,236,778,312 = 1,236,778,312 : x
  2. Step 2: Convert to fraction form
    565,797,314/1,236,778,312 = 1,236,778,312/x
  3. Step 3: Cross multiply
    565,797,314x = 1,236,778,312 × 1,236,778,312
  4. Step 4: Simplify right side
    565,797,314x = 1,529,620,593,033,569,280
  5. Step 5: Solve for x
    x = 1,529,620,593,033,569,280/565,797,314
  6. Step 6: Final answer
    x = 2,703,478,003.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.