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Finding the Third Proportional to 357,490,018.13 and 769,759,941.38

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Solution

The third proportional to 357,490,018.13 and 769,759,941.38 is: 1,657,473,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,490,018.13 : 769,759,941.38 = 769,759,941.38 : x
  2. Step 2: Convert to fraction form
    357,490,018.13/769,759,941.38 = 769,759,941.38/x
  3. Step 3: Cross multiply
    357,490,018.13x = 769,759,941.38 × 769,759,941.38
  4. Step 4: Simplify right side
    357,490,018.13x = 592,530,367,345,643,392
  5. Step 5: Solve for x
    x = 592,530,367,345,643,392/357,490,018.13
  6. Step 6: Final answer
    x = 1,657,473,879.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.