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Finding the Third Proportional to 3,509,674,680 and 7,623,513,432

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Solution

The third proportional to 3,509,674,680 and 7,623,513,432 is: 16,559,357,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,674,680 : 7,623,513,432 = 7,623,513,432 : x
  2. Step 2: Convert to fraction form
    3,509,674,680/7,623,513,432 = 7,623,513,432/x
  3. Step 3: Cross multiply
    3,509,674,680x = 7,623,513,432 × 7,623,513,432
  4. Step 4: Simplify right side
    3,509,674,680x = 58,117,957,047,884,414,976
  5. Step 5: Solve for x
    x = 58,117,957,047,884,414,976/3,509,674,680
  6. Step 6: Final answer
    x = 16,559,357,304.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.