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Finding the Third Proportional to 1,502,492,392.13 and 2,003,095,787.63

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Solution

The third proportional to 1,502,492,392.13 and 2,003,095,787.63 is: 2,670,491,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,492,392.13 : 2,003,095,787.63 = 2,003,095,787.63 : x
  2. Step 2: Convert to fraction form
    1,502,492,392.13/2,003,095,787.63 = 2,003,095,787.63/x
  3. Step 3: Cross multiply
    1,502,492,392.13x = 2,003,095,787.63 × 2,003,095,787.63
  4. Step 4: Simplify right side
    1,502,492,392.13x = 4,012,392,734,401,018,880
  5. Step 5: Solve for x
    x = 4,012,392,734,401,018,880/1,502,492,392.13
  6. Step 6: Final answer
    x = 2,670,491,215.42

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.