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Finding the Third Proportional to 1,426,442,792 and 3,106,121,312

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Solution

The third proportional to 1,426,442,792 and 3,106,121,312 is: 6,763,670,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,442,792 : 3,106,121,312 = 3,106,121,312 : x
  2. Step 2: Convert to fraction form
    1,426,442,792/3,106,121,312 = 3,106,121,312/x
  3. Step 3: Cross multiply
    1,426,442,792x = 3,106,121,312 × 3,106,121,312
  4. Step 4: Simplify right side
    1,426,442,792x = 9,647,989,604,860,600,320
  5. Step 5: Solve for x
    x = 9,647,989,604,860,600,320/1,426,442,792
  6. Step 6: Final answer
    x = 6,763,670,901.47

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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.