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Finding the Third Proportional to 8,824,374 and 19,114,046

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Solution

The third proportional to 8,824,374 and 19,114,046 is: 41,402,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824,374 : 19,114,046 = 19,114,046 : x
  2. Step 2: Convert to fraction form
    8,824,374/19,114,046 = 19,114,046/x
  3. Step 3: Cross multiply
    8,824,374x = 19,114,046 × 19,114,046
  4. Step 4: Simplify right side
    8,824,374x = 365,346,754,490,116
  5. Step 5: Solve for x
    x = 365,346,754,490,116/8,824,374
  6. Step 6: Final answer
    x = 41,402,002.51

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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.