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Finding the Third Proportional to 1,523,864,962 and 3,307,509,764

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Solution

The third proportional to 1,523,864,962 and 3,307,509,764 is: 7,178,864,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,864,962 : 3,307,509,764 = 3,307,509,764 : x
  2. Step 2: Convert to fraction form
    1,523,864,962/3,307,509,764 = 3,307,509,764/x
  3. Step 3: Cross multiply
    1,523,864,962x = 3,307,509,764 × 3,307,509,764
  4. Step 4: Simplify right side
    1,523,864,962x = 10,939,620,838,955,335,680
  5. Step 5: Solve for x
    x = 10,939,620,838,955,335,680/1,523,864,962
  6. Step 6: Final answer
    x = 7,178,864,999.03

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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.