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Finding the Third Proportional to 7,677,602 and 16,403,324

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Solution

The third proportional to 7,677,602 and 16,403,324 is: 35,045,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,602 : 16,403,324 = 16,403,324 : x
  2. Step 2: Convert to fraction form
    7,677,602/16,403,324 = 16,403,324/x
  3. Step 3: Cross multiply
    7,677,602x = 16,403,324 × 16,403,324
  4. Step 4: Simplify right side
    7,677,602x = 269,069,038,248,976
  5. Step 5: Solve for x
    x = 269,069,038,248,976/7,677,602
  6. Step 6: Final answer
    x = 35,045,973.76

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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.