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Finding the Third Proportional to 1,452,945,664 and 2,255,975,808

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Solution

The third proportional to 1,452,945,664 and 2,255,975,808 is: 3,502,833,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,945,664 : 2,255,975,808 = 2,255,975,808 : x
  2. Step 2: Convert to fraction form
    1,452,945,664/2,255,975,808 = 2,255,975,808/x
  3. Step 3: Cross multiply
    1,452,945,664x = 2,255,975,808 × 2,255,975,808
  4. Step 4: Simplify right side
    1,452,945,664x = 5,089,426,846,281,252,864
  5. Step 5: Solve for x
    x = 5,089,426,846,281,252,864/1,452,945,664
  6. Step 6: Final answer
    x = 3,502,833,569.34

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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.