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Finding the Third Proportional to 773,967,724 and 1,683,977,054

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Solution

The third proportional to 773,967,724 and 1,683,977,054 is: 3,663,949,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,967,724 : 1,683,977,054 = 1,683,977,054 : x
  2. Step 2: Convert to fraction form
    773,967,724/1,683,977,054 = 1,683,977,054/x
  3. Step 3: Cross multiply
    773,967,724x = 1,683,977,054 × 1,683,977,054
  4. Step 4: Simplify right side
    773,967,724x = 2,835,778,718,398,518,784
  5. Step 5: Solve for x
    x = 2,835,778,718,398,518,784/773,967,724
  6. Step 6: Final answer
    x = 3,663,949,581.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.