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Finding the Third Proportional to 883,820,044 and 1,329,420,014

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Solution

The third proportional to 883,820,044 and 1,329,420,014 is: 1,999,680,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,820,044 : 1,329,420,014 = 1,329,420,014 : x
  2. Step 2: Convert to fraction form
    883,820,044/1,329,420,014 = 1,329,420,014/x
  3. Step 3: Cross multiply
    883,820,044x = 1,329,420,014 × 1,329,420,014
  4. Step 4: Simplify right side
    883,820,044x = 1,767,357,573,623,760,128
  5. Step 5: Solve for x
    x = 1,767,357,573,623,760,128/883,820,044
  6. Step 6: Final answer
    x = 1,999,680,348.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.