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Finding the Third Proportional to 3,264,371,011.69 and 7,082,968,510.69

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Solution

The third proportional to 3,264,371,011.69 and 7,082,968,510.69 is: 15,368,486,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264,371,011.69 : 7,082,968,510.69 = 7,082,968,510.69 : x
  2. Step 2: Convert to fraction form
    3,264,371,011.69/7,082,968,510.69 = 7,082,968,510.69/x
  3. Step 3: Cross multiply
    3,264,371,011.69x = 7,082,968,510.69 × 7,082,968,510.69
  4. Step 4: Simplify right side
    3,264,371,011.69x = 50,168,442,923,386,445,824
  5. Step 5: Solve for x
    x = 50,168,442,923,386,445,824/3,264,371,011.69
  6. Step 6: Final answer
    x = 15,368,486,836.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.