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Finding the Third Proportional to 616,593,852 and 1,438,768,671

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Solution

The third proportional to 616,593,852 and 1,438,768,671 is: 3,357,242,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,593,852 : 1,438,768,671 = 1,438,768,671 : x
  2. Step 2: Convert to fraction form
    616,593,852/1,438,768,671 = 1,438,768,671/x
  3. Step 3: Cross multiply
    616,593,852x = 1,438,768,671 × 1,438,768,671
  4. Step 4: Simplify right side
    616,593,852x = 2,070,055,288,651,106,304
  5. Step 5: Solve for x
    x = 2,070,055,288,651,106,304/616,593,852
  6. Step 6: Final answer
    x = 3,357,242,830.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.