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Finding the Third Proportional to 3,542,838,278 and 7,611,445,160

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Solution

The third proportional to 3,542,838,278 and 7,611,445,160 is: 16,352,453,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,838,278 : 7,611,445,160 = 7,611,445,160 : x
  2. Step 2: Convert to fraction form
    3,542,838,278/7,611,445,160 = 7,611,445,160/x
  3. Step 3: Cross multiply
    3,542,838,278x = 7,611,445,160 × 7,611,445,160
  4. Step 4: Simplify right side
    3,542,838,278x = 57,934,097,423,687,426,048
  5. Step 5: Solve for x
    x = 57,934,097,423,687,426,048/3,542,838,278
  6. Step 6: Final answer
    x = 16,352,453,281.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.