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Finding the Third Proportional to 838,824,340 and 1,838,891,816

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Solution

The third proportional to 838,824,340 and 1,838,891,816 is: 4,031,264,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,824,340 : 1,838,891,816 = 1,838,891,816 : x
  2. Step 2: Convert to fraction form
    838,824,340/1,838,891,816 = 1,838,891,816/x
  3. Step 3: Cross multiply
    838,824,340x = 1,838,891,816 × 1,838,891,816
  4. Step 4: Simplify right side
    838,824,340x = 3,381,523,110,951,777,792
  5. Step 5: Solve for x
    x = 3,381,523,110,951,777,792/838,824,340
  6. Step 6: Final answer
    x = 4,031,264,890.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.