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Finding the Third Proportional to 2,879,549,907.75 and 4,300,455,415.50

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Solution

The third proportional to 2,879,549,907.75 and 4,300,455,415.50 is: 6,422,502,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,549,907.75 : 4,300,455,415.50 = 4,300,455,415.50 : x
  2. Step 2: Convert to fraction form
    2,879,549,907.75/4,300,455,415.50 = 4,300,455,415.50/x
  3. Step 3: Cross multiply
    2,879,549,907.75x = 4,300,455,415.50 × 4,300,455,415.50
  4. Step 4: Simplify right side
    2,879,549,907.75x = 18,493,916,780,703,277,056
  5. Step 5: Solve for x
    x = 18,493,916,780,703,277,056/2,879,549,907.75
  6. Step 6: Final answer
    x = 6,422,502,603.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.