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Finding the Third Proportional to 5,824,854 and 9,117,477

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Solution

The third proportional to 5,824,854 and 9,117,477 is: 14,271,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,854 : 9,117,477 = 9,117,477 : x
  2. Step 2: Convert to fraction form
    5,824,854/9,117,477 = 9,117,477/x
  3. Step 3: Cross multiply
    5,824,854x = 9,117,477 × 9,117,477
  4. Step 4: Simplify right side
    5,824,854x = 83,128,386,845,529
  5. Step 5: Solve for x
    x = 83,128,386,845,529/5,824,854
  6. Step 6: Final answer
    x = 14,271,325.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.