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Finding the Third Proportional to 1,366,661,492 and 2,041,036,614

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Solution

The third proportional to 1,366,661,492 and 2,041,036,614 is: 3,048,180,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,661,492 : 2,041,036,614 = 2,041,036,614 : x
  2. Step 2: Convert to fraction form
    1,366,661,492/2,041,036,614 = 2,041,036,614/x
  3. Step 3: Cross multiply
    1,366,661,492x = 2,041,036,614 × 2,041,036,614
  4. Step 4: Simplify right side
    1,366,661,492x = 4,165,830,459,688,585,216
  5. Step 5: Solve for x
    x = 4,165,830,459,688,585,216/1,366,661,492
  6. Step 6: Final answer
    x = 3,048,180,170.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.