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Finding the Third Proportional to 1,071,685,982 and 2,307,582,312

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Solution

The third proportional to 1,071,685,982 and 2,307,582,312 is: 4,968,746,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,685,982 : 2,307,582,312 = 2,307,582,312 : x
  2. Step 2: Convert to fraction form
    1,071,685,982/2,307,582,312 = 2,307,582,312/x
  3. Step 3: Cross multiply
    1,071,685,982x = 2,307,582,312 × 2,307,582,312
  4. Step 4: Simplify right side
    1,071,685,982x = 5,324,936,126,655,265,792
  5. Step 5: Solve for x
    x = 5,324,936,126,655,265,792/1,071,685,982
  6. Step 6: Final answer
    x = 4,968,746,644.16

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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.