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Finding the Third Proportional to 477,034,941 and 1,030,662,833

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Solution

The third proportional to 477,034,941 and 1,030,662,833 is: 2,226,809,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,034,941 : 1,030,662,833 = 1,030,662,833 : x
  2. Step 2: Convert to fraction form
    477,034,941/1,030,662,833 = 1,030,662,833/x
  3. Step 3: Cross multiply
    477,034,941x = 1,030,662,833 × 1,030,662,833
  4. Step 4: Simplify right side
    477,034,941x = 1,062,265,875,327,585,920
  5. Step 5: Solve for x
    x = 1,062,265,875,327,585,920/477,034,941
  6. Step 6: Final answer
    x = 2,226,809,367.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.