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Finding the Third Proportional to 1,019,574,054 and 1,574,400,703.50

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Solution

The third proportional to 1,019,574,054 and 1,574,400,703.50 is: 2,431,150,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,054 : 1,574,400,703.50 = 1,574,400,703.50 : x
  2. Step 2: Convert to fraction form
    1,019,574,054/1,574,400,703.50 = 1,574,400,703.50/x
  3. Step 3: Cross multiply
    1,019,574,054x = 1,574,400,703.50 × 1,574,400,703.50
  4. Step 4: Simplify right side
    1,019,574,054x = 2,478,737,575,181,295,104
  5. Step 5: Solve for x
    x = 2,478,737,575,181,295,104/1,019,574,054
  6. Step 6: Final answer
    x = 2,431,150,111.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.