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Finding the Third Proportional to 466,462,354 and 1,079,888,939

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Solution

The third proportional to 466,462,354 and 1,079,888,939 is: 2,500,009,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,354 : 1,079,888,939 = 1,079,888,939 : x
  2. Step 2: Convert to fraction form
    466,462,354/1,079,888,939 = 1,079,888,939/x
  3. Step 3: Cross multiply
    466,462,354x = 1,079,888,939 × 1,079,888,939
  4. Step 4: Simplify right side
    466,462,354x = 1,166,160,120,574,545,664
  5. Step 5: Solve for x
    x = 1,166,160,120,574,545,664/466,462,354
  6. Step 6: Final answer
    x = 2,500,009,080.21

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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.