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Finding the Third Proportional to 7,540,673,670 and 15,862,788,684

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Solution

The third proportional to 7,540,673,670 and 15,862,788,684 is: 33,369,440,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540,673,670 : 15,862,788,684 = 15,862,788,684 : x
  2. Step 2: Convert to fraction form
    7,540,673,670/15,862,788,684 = 15,862,788,684/x
  3. Step 3: Cross multiply
    7,540,673,670x = 15,862,788,684 × 15,862,788,684
  4. Step 4: Simplify right side
    7,540,673,670x = 251,628,064,833,238,466,560
  5. Step 5: Solve for x
    x = 251,628,064,833,238,466,560/7,540,673,670
  6. Step 6: Final answer
    x = 33,369,440,960.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.