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Finding the Third Proportional to 635,354,424 and 1,376,210,376

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Solution

The third proportional to 635,354,424 and 1,376,210,376 is: 2,980,942,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,354,424 : 1,376,210,376 = 1,376,210,376 : x
  2. Step 2: Convert to fraction form
    635,354,424/1,376,210,376 = 1,376,210,376/x
  3. Step 3: Cross multiply
    635,354,424x = 1,376,210,376 × 1,376,210,376
  4. Step 4: Simplify right side
    635,354,424x = 1,893,954,999,010,061,312
  5. Step 5: Solve for x
    x = 1,893,954,999,010,061,312/635,354,424
  6. Step 6: Final answer
    x = 2,980,942,490.47

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