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Finding the Third Proportional to 745,539,655 and 1,166,983,355

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Solution

The third proportional to 745,539,655 and 1,166,983,355 is: 1,826,663,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,539,655 : 1,166,983,355 = 1,166,983,355 : x
  2. Step 2: Convert to fraction form
    745,539,655/1,166,983,355 = 1,166,983,355/x
  3. Step 3: Cross multiply
    745,539,655x = 1,166,983,355 × 1,166,983,355
  4. Step 4: Simplify right side
    745,539,655x = 1,361,850,150,847,056,128
  5. Step 5: Solve for x
    x = 1,361,850,150,847,056,128/745,539,655
  6. Step 6: Final answer
    x = 1,826,663,600.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.