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Finding the Third Proportional to 6,851,537,708 and 10,902,143,397

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Solution

The third proportional to 6,851,537,708 and 10,902,143,397 is: 17,347,453,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851,537,708 : 10,902,143,397 = 10,902,143,397 : x
  2. Step 2: Convert to fraction form
    6,851,537,708/10,902,143,397 = 10,902,143,397/x
  3. Step 3: Cross multiply
    6,851,537,708x = 10,902,143,397 × 10,902,143,397
  4. Step 4: Simplify right side
    6,851,537,708x = 118,856,730,648,750,702,592
  5. Step 5: Solve for x
    x = 118,856,730,648,750,702,592/6,851,537,708
  6. Step 6: Final answer
    x = 17,347,453,332.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.