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Finding the Third Proportional to 1,570,923,675 and 3,417,655,682.25

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Solution

The third proportional to 1,570,923,675 and 3,417,655,682.25 is: 7,435,351,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,923,675 : 3,417,655,682.25 = 3,417,655,682.25 : x
  2. Step 2: Convert to fraction form
    1,570,923,675/3,417,655,682.25 = 3,417,655,682.25/x
  3. Step 3: Cross multiply
    1,570,923,675x = 3,417,655,682.25 × 3,417,655,682.25
  4. Step 4: Simplify right side
    1,570,923,675x = 11,680,370,362,415,712,256
  5. Step 5: Solve for x
    x = 11,680,370,362,415,712,256/1,570,923,675
  6. Step 6: Final answer
    x = 7,435,351,919.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.