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Finding the Third Proportional to 266,156,752.50 and 579,180,409.50

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Solution

The third proportional to 266,156,752.50 and 579,180,409.50 is: 1,260,347,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,156,752.50 : 579,180,409.50 = 579,180,409.50 : x
  2. Step 2: Convert to fraction form
    266,156,752.50/579,180,409.50 = 579,180,409.50/x
  3. Step 3: Cross multiply
    266,156,752.50x = 579,180,409.50 × 579,180,409.50
  4. Step 4: Simplify right side
    266,156,752.50x = 335,449,946,748,587,712
  5. Step 5: Solve for x
    x = 335,449,946,748,587,712/266,156,752.50
  6. Step 6: Final answer
    x = 1,260,347,308.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.