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Finding the Third Proportional to 466,462,346 and 1,079,888,919

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Solution

The third proportional to 466,462,346 and 1,079,888,919 is: 2,500,009,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,346 : 1,079,888,919 = 1,079,888,919 : x
  2. Step 2: Convert to fraction form
    466,462,346/1,079,888,919 = 1,079,888,919/x
  3. Step 3: Cross multiply
    466,462,346x = 1,079,888,919 × 1,079,888,919
  4. Step 4: Simplify right side
    466,462,346x = 1,166,160,077,378,988,544
  5. Step 5: Solve for x
    x = 1,166,160,077,378,988,544/466,462,346
  6. Step 6: Final answer
    x = 2,500,009,030.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.