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Finding the Third Proportional to 706,015,330.52 and 1,539,153,145.69

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Solution

The third proportional to 706,015,330.52 and 1,539,153,145.69 is: 3,355,440,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,330.52 : 1,539,153,145.69 = 1,539,153,145.69 : x
  2. Step 2: Convert to fraction form
    706,015,330.52/1,539,153,145.69 = 1,539,153,145.69/x
  3. Step 3: Cross multiply
    706,015,330.52x = 1,539,153,145.69 × 1,539,153,145.69
  4. Step 4: Simplify right side
    706,015,330.52x = 2,368,992,405,879,726,592
  5. Step 5: Solve for x
    x = 2,368,992,405,879,726,592/706,015,330.52
  6. Step 6: Final answer
    x = 3,355,440,460.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.