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Finding the Third Proportional to 7,911,594 and 16,242,606

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Solution

The third proportional to 7,911,594 and 16,242,606 is: 33,346,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911,594 : 16,242,606 = 16,242,606 : x
  2. Step 2: Convert to fraction form
    7,911,594/16,242,606 = 16,242,606/x
  3. Step 3: Cross multiply
    7,911,594x = 16,242,606 × 16,242,606
  4. Step 4: Simplify right side
    7,911,594x = 263,822,249,671,236
  5. Step 5: Solve for x
    x = 263,822,249,671,236/7,911,594
  6. Step 6: Final answer
    x = 33,346,282.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.