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Finding the Third Proportional to 296,068,720 and 641,561,426

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Solution

The third proportional to 296,068,720 and 641,561,426 is: 1,390,221,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,068,720 : 641,561,426 = 641,561,426 : x
  2. Step 2: Convert to fraction form
    296,068,720/641,561,426 = 641,561,426/x
  3. Step 3: Cross multiply
    296,068,720x = 641,561,426 × 641,561,426
  4. Step 4: Simplify right side
    296,068,720x = 411,601,063,331,153,472
  5. Step 5: Solve for x
    x = 411,601,063,331,153,472/296,068,720
  6. Step 6: Final answer
    x = 1,390,221,376.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.