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Finding the Third Proportional to 266,156,748 and 579,180,398.63

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Solution

The third proportional to 266,156,748 and 579,180,398.63 is: 1,260,347,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,156,748 : 579,180,398.63 = 579,180,398.63 : x
  2. Step 2: Convert to fraction form
    266,156,748/579,180,398.63 = 579,180,398.63/x
  3. Step 3: Cross multiply
    266,156,748x = 579,180,398.63 × 579,180,398.63
  4. Step 4: Simplify right side
    266,156,748x = 335,449,934,151,413,888
  5. Step 5: Solve for x
    x = 335,449,934,151,413,888/266,156,748
  6. Step 6: Final answer
    x = 1,260,347,282.84

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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.