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Finding the Third Proportional to 1,428,988,716 and 3,064,737,816

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Solution

The third proportional to 1,428,988,716 and 3,064,737,816 is: 6,572,912,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,988,716 : 3,064,737,816 = 3,064,737,816 : x
  2. Step 2: Convert to fraction form
    1,428,988,716/3,064,737,816 = 3,064,737,816/x
  3. Step 3: Cross multiply
    1,428,988,716x = 3,064,737,816 × 3,064,737,816
  4. Step 4: Simplify right side
    1,428,988,716x = 9,392,617,880,820,449,280
  5. Step 5: Solve for x
    x = 9,392,617,880,820,449,280/1,428,988,716
  6. Step 6: Final answer
    x = 6,572,912,560.93

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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.