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Finding the Third Proportional to 3,834,918,368 and 8,252,296,070

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Solution

The third proportional to 3,834,918,368 and 8,252,296,070 is: 17,757,976,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,918,368 : 8,252,296,070 = 8,252,296,070 : x
  2. Step 2: Convert to fraction form
    3,834,918,368/8,252,296,070 = 8,252,296,070/x
  3. Step 3: Cross multiply
    3,834,918,368x = 8,252,296,070 × 8,252,296,070
  4. Step 4: Simplify right side
    3,834,918,368x = 68,100,390,426,937,442,304
  5. Step 5: Solve for x
    x = 68,100,390,426,937,442,304/3,834,918,368
  6. Step 6: Final answer
    x = 17,757,976,543.96

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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.