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Finding the Third Proportional to 262,136,669 and 565,127,575

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Solution

The third proportional to 262,136,669 and 565,127,575 is: 1,218,330,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,136,669 : 565,127,575 = 565,127,575 : x
  2. Step 2: Convert to fraction form
    262,136,669/565,127,575 = 565,127,575/x
  3. Step 3: Cross multiply
    262,136,669x = 565,127,575 × 565,127,575
  4. Step 4: Simplify right side
    262,136,669x = 319,369,176,025,380,608
  5. Step 5: Solve for x
    x = 319,369,176,025,380,608/262,136,669
  6. Step 6: Final answer
    x = 1,218,330,793.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.