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Finding the Third Proportional to 1,018,696,824 and 2,182,742,640

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Solution

The third proportional to 1,018,696,824 and 2,182,742,640 is: 4,676,921,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,696,824 : 2,182,742,640 = 2,182,742,640 : x
  2. Step 2: Convert to fraction form
    1,018,696,824/2,182,742,640 = 2,182,742,640/x
  3. Step 3: Cross multiply
    1,018,696,824x = 2,182,742,640 × 2,182,742,640
  4. Step 4: Simplify right side
    1,018,696,824x = 4,764,365,432,474,169,344
  5. Step 5: Solve for x
    x = 4,764,365,432,474,169,344/1,018,696,824
  6. Step 6: Final answer
    x = 4,676,921,847.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.