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Finding the Third Proportional to 1,523,864,960 and 3,307,509,760

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Solution

The third proportional to 1,523,864,960 and 3,307,509,760 is: 7,178,864,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,864,960 : 3,307,509,760 = 3,307,509,760 : x
  2. Step 2: Convert to fraction form
    1,523,864,960/3,307,509,760 = 3,307,509,760/x
  3. Step 3: Cross multiply
    1,523,864,960x = 3,307,509,760 × 3,307,509,760
  4. Step 4: Simplify right side
    1,523,864,960x = 10,939,620,812,495,257,600
  5. Step 5: Solve for x
    x = 10,939,620,812,495,257,600/1,523,864,960
  6. Step 6: Final answer
    x = 7,178,864,991.09

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