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Finding the Third Proportional to 1,366,661,534 and 2,041,036,672

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Solution

The third proportional to 1,366,661,534 and 2,041,036,672 is: 3,048,180,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,661,534 : 2,041,036,672 = 2,041,036,672 : x
  2. Step 2: Convert to fraction form
    1,366,661,534/2,041,036,672 = 2,041,036,672/x
  3. Step 3: Cross multiply
    1,366,661,534x = 2,041,036,672 × 2,041,036,672
  4. Step 4: Simplify right side
    1,366,661,534x = 4,165,830,696,448,835,584
  5. Step 5: Solve for x
    x = 4,165,830,696,448,835,584/1,366,661,534
  6. Step 6: Final answer
    x = 3,048,180,250.06

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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.