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Finding the Third Proportional to 1,710,233,784 and 2,643,888,432

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Solution

The third proportional to 1,710,233,784 and 2,643,888,432 is: 4,087,245,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,233,784 : 2,643,888,432 = 2,643,888,432 : x
  2. Step 2: Convert to fraction form
    1,710,233,784/2,643,888,432 = 2,643,888,432/x
  3. Step 3: Cross multiply
    1,710,233,784x = 2,643,888,432 × 2,643,888,432
  4. Step 4: Simplify right side
    1,710,233,784x = 6,990,146,040,863,418,368
  5. Step 5: Solve for x
    x = 6,990,146,040,863,418,368/1,710,233,784
  6. Step 6: Final answer
    x = 4,087,245,911.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.