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Finding the Third Proportional to 565,797,312 and 1,236,778,308

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Solution

The third proportional to 565,797,312 and 1,236,778,308 is: 2,703,477,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,797,312 : 1,236,778,308 = 1,236,778,308 : x
  2. Step 2: Convert to fraction form
    565,797,312/1,236,778,308 = 1,236,778,308/x
  3. Step 3: Cross multiply
    565,797,312x = 1,236,778,308 × 1,236,778,308
  4. Step 4: Simplify right side
    565,797,312x = 1,529,620,583,139,342,848
  5. Step 5: Solve for x
    x = 1,529,620,583,139,342,848/565,797,312
  6. Step 6: Final answer
    x = 2,703,477,995.91

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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.