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Finding the Third Proportional to 1,071,685,984 and 2,307,582,316

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Solution

The third proportional to 1,071,685,984 and 2,307,582,316 is: 4,968,746,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,685,984 : 2,307,582,316 = 2,307,582,316 : x
  2. Step 2: Convert to fraction form
    1,071,685,984/2,307,582,316 = 2,307,582,316/x
  3. Step 3: Cross multiply
    1,071,685,984x = 2,307,582,316 × 2,307,582,316
  4. Step 4: Simplify right side
    1,071,685,984x = 5,324,936,145,115,923,456
  5. Step 5: Solve for x
    x = 5,324,936,145,115,923,456/1,071,685,984
  6. Step 6: Final answer
    x = 4,968,746,652.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.