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Finding the Third Proportional to 1,243,141,460 and 1,864,255,710

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Solution

The third proportional to 1,243,141,460 and 1,864,255,710 is: 2,795,699,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,141,460 : 1,864,255,710 = 1,864,255,710 : x
  2. Step 2: Convert to fraction form
    1,243,141,460/1,864,255,710 = 1,864,255,710/x
  3. Step 3: Cross multiply
    1,243,141,460x = 1,864,255,710 × 1,864,255,710
  4. Step 4: Simplify right side
    1,243,141,460x = 3,475,449,352,267,603,968
  5. Step 5: Solve for x
    x = 3,475,449,352,267,603,968/1,243,141,460
  6. Step 6: Final answer
    x = 2,795,699,012.62

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