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Finding the Third Proportional to 2,576,170,394 and 5,658,433,972

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Solution

The third proportional to 2,576,170,394 and 5,658,433,972 is: 12,428,477,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,170,394 : 5,658,433,972 = 5,658,433,972 : x
  2. Step 2: Convert to fraction form
    2,576,170,394/5,658,433,972 = 5,658,433,972/x
  3. Step 3: Cross multiply
    2,576,170,394x = 5,658,433,972 × 5,658,433,972
  4. Step 4: Simplify right side
    2,576,170,394x = 32,017,875,015,483,695,104
  5. Step 5: Solve for x
    x = 32,017,875,015,483,695,104/2,576,170,394
  6. Step 6: Final answer
    x = 12,428,477,204.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.