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Finding the Third Proportional to 1,452,945,426 and 2,255,975,451

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Solution

The third proportional to 1,452,945,426 and 2,255,975,451 is: 3,502,833,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,945,426 : 2,255,975,451 = 2,255,975,451 : x
  2. Step 2: Convert to fraction form
    1,452,945,426/2,255,975,451 = 2,255,975,451/x
  3. Step 3: Cross multiply
    1,452,945,426x = 2,255,975,451 × 2,255,975,451
  4. Step 4: Simplify right side
    1,452,945,426x = 5,089,425,235,514,653,696
  5. Step 5: Solve for x
    x = 5,089,425,235,514,653,696/1,452,945,426
  6. Step 6: Final answer
    x = 3,502,833,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.