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Finding the Third Proportional to 8,896,095 and 19,423,421

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Solution

The third proportional to 8,896,095 and 19,423,421 is: 42,408,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,095 : 19,423,421 = 19,423,421 : x
  2. Step 2: Convert to fraction form
    8,896,095/19,423,421 = 19,423,421/x
  3. Step 3: Cross multiply
    8,896,095x = 19,423,421 × 19,423,421
  4. Step 4: Simplify right side
    8,896,095x = 377,269,283,343,241
  5. Step 5: Solve for x
    x = 377,269,283,343,241/8,896,095
  6. Step 6: Final answer
    x = 42,408,414.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.