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Finding the Third Proportional to 1,371,012,225 and 2,088,642,289

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Solution

The third proportional to 1,371,012,225 and 2,088,642,289 is: 3,181,902,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,012,225 : 2,088,642,289 = 2,088,642,289 : x
  2. Step 2: Convert to fraction form
    1,371,012,225/2,088,642,289 = 2,088,642,289/x
  3. Step 3: Cross multiply
    1,371,012,225x = 2,088,642,289 × 2,088,642,289
  4. Step 4: Simplify right side
    1,371,012,225x = 4,362,426,611,399,159,296
  5. Step 5: Solve for x
    x = 4,362,426,611,399,159,296/1,371,012,225
  6. Step 6: Final answer
    x = 3,181,902,051.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.