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Finding the Third Proportional to 1,542,684,900 and 2,350,121,053

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Solution

The third proportional to 1,542,684,900 and 2,350,121,053 is: 3,580,166,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,684,900 : 2,350,121,053 = 2,350,121,053 : x
  2. Step 2: Convert to fraction form
    1,542,684,900/2,350,121,053 = 2,350,121,053/x
  3. Step 3: Cross multiply
    1,542,684,900x = 2,350,121,053 × 2,350,121,053
  4. Step 4: Simplify right side
    1,542,684,900x = 5,523,068,963,753,828,352
  5. Step 5: Solve for x
    x = 5,523,068,963,753,828,352/1,542,684,900
  6. Step 6: Final answer
    x = 3,580,166,606.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.