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Finding the Third Proportional to 3,854,716,176 and 5,200,917,141

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Solution

The third proportional to 3,854,716,176 and 5,200,917,141 is: 7,017,258,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854,716,176 : 5,200,917,141 = 5,200,917,141 : x
  2. Step 2: Convert to fraction form
    3,854,716,176/5,200,917,141 = 5,200,917,141/x
  3. Step 3: Cross multiply
    3,854,716,176x = 5,200,917,141 × 5,200,917,141
  4. Step 4: Simplify right side
    3,854,716,176x = 27,049,539,107,547,615,232
  5. Step 5: Solve for x
    x = 27,049,539,107,547,615,232/3,854,716,176
  6. Step 6: Final answer
    x = 7,017,258,307.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.