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Finding the Third Proportional to 706,015,380 and 1,539,153,248

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Solution

The third proportional to 706,015,380 and 1,539,153,248 is: 3,355,440,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,380 : 1,539,153,248 = 1,539,153,248 : x
  2. Step 2: Convert to fraction form
    706,015,380/1,539,153,248 = 1,539,153,248/x
  3. Step 3: Cross multiply
    706,015,380x = 1,539,153,248 × 1,539,153,248
  4. Step 4: Simplify right side
    706,015,380x = 2,368,992,720,828,949,504
  5. Step 5: Solve for x
    x = 2,368,992,720,828,949,504/706,015,380
  6. Step 6: Final answer
    x = 3,355,440,671.60

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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.