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Finding the Third Proportional to 1,426,443,261 and 3,106,122,288

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Solution

The third proportional to 1,426,443,261 and 3,106,122,288 is: 6,763,672,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,443,261 : 3,106,122,288 = 3,106,122,288 : x
  2. Step 2: Convert to fraction form
    1,426,443,261/3,106,122,288 = 3,106,122,288/x
  3. Step 3: Cross multiply
    1,426,443,261x = 3,106,122,288 × 3,106,122,288
  4. Step 4: Simplify right side
    1,426,443,261x = 9,647,995,668,010,354,688
  5. Step 5: Solve for x
    x = 9,647,995,668,010,354,688/1,426,443,261
  6. Step 6: Final answer
    x = 6,763,672,928.18

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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.