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Finding the Third Proportional to 3,570,026,724 and 7,713,694,800

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Solution

The third proportional to 3,570,026,724 and 7,713,694,800 is: 16,666,846,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570,026,724 : 7,713,694,800 = 7,713,694,800 : x
  2. Step 2: Convert to fraction form
    3,570,026,724/7,713,694,800 = 7,713,694,800/x
  3. Step 3: Cross multiply
    3,570,026,724x = 7,713,694,800 × 7,713,694,800
  4. Step 4: Simplify right side
    3,570,026,724x = 59,501,087,467,547,041,792
  5. Step 5: Solve for x
    x = 59,501,087,467,547,041,792/3,570,026,724
  6. Step 6: Final answer
    x = 16,666,846,516.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.