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Finding the Third Proportional to 895,761,981.14 and 1,343,643,112.20

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Solution

The third proportional to 895,761,981.14 and 1,343,643,112.20 is: 2,015,464,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,761,981.14 : 1,343,643,112.20 = 1,343,643,112.20 : x
  2. Step 2: Convert to fraction form
    895,761,981.14/1,343,643,112.20 = 1,343,643,112.20/x
  3. Step 3: Cross multiply
    895,761,981.14x = 1,343,643,112.20 × 1,343,643,112.20
  4. Step 4: Simplify right side
    895,761,981.14x = 1,805,376,812,950,140,160
  5. Step 5: Solve for x
    x = 1,805,376,812,950,140,160/895,761,981.14
  6. Step 6: Final answer
    x = 2,015,464,879.02

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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.