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Finding the Third Proportional to 1,657,956,960 and 3,574,181,124

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Solution

The third proportional to 1,657,956,960 and 3,574,181,124 is: 7,705,128,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,956,960 : 3,574,181,124 = 3,574,181,124 : x
  2. Step 2: Convert to fraction form
    1,657,956,960/3,574,181,124 = 3,574,181,124/x
  3. Step 3: Cross multiply
    1,657,956,960x = 3,574,181,124 × 3,574,181,124
  4. Step 4: Simplify right side
    1,657,956,960x = 12,774,770,707,157,903,360
  5. Step 5: Solve for x
    x = 12,774,770,707,157,903,360/1,657,956,960
  6. Step 6: Final answer
    x = 7,705,128,067.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.