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Finding the Third Proportional to 1,010,118,451.50 and 2,170,615,023

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Solution

The third proportional to 1,010,118,451.50 and 2,170,615,023 is: 4,664,373,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,118,451.50 : 2,170,615,023 = 2,170,615,023 : x
  2. Step 2: Convert to fraction form
    1,010,118,451.50/2,170,615,023 = 2,170,615,023/x
  3. Step 3: Cross multiply
    1,010,118,451.50x = 2,170,615,023 × 2,170,615,023
  4. Step 4: Simplify right side
    1,010,118,451.50x = 4,711,569,578,073,290,752
  5. Step 5: Solve for x
    x = 4,711,569,578,073,290,752/1,010,118,451.50
  6. Step 6: Final answer
    x = 4,664,373,342.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.