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Finding the Third Proportional to 583,114,006,957.50 and 908,763,015,872.25

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Solution

The third proportional to 583,114,006,957.50 and 908,763,015,872.25 is: 1,416,275,735,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,114,006,957.50 : 908,763,015,872.25 = 908,763,015,872.25 : x
  2. Step 2: Convert to fraction form
    583,114,006,957.50/908,763,015,872.25 = 908,763,015,872.25/x
  3. Step 3: Cross multiply
    583,114,006,957.50x = 908,763,015,872.25 × 908,763,015,872.25
  4. Step 4: Simplify right side
    583,114,006,957.50x = 825,850,219,017,227,357,650,944
  5. Step 5: Solve for x
    x = 825,850,219,017,227,357,650,944/583,114,006,957.50
  6. Step 6: Final answer
    x = 1,416,275,735,385.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.