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Finding the Third Proportional to 46,044,000 and 99,465,408

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Solution

The third proportional to 46,044,000 and 99,465,408 is: 214,867,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,044,000 : 99,465,408 = 99,465,408 : x
  2. Step 2: Convert to fraction form
    46,044,000/99,465,408 = 99,465,408/x
  3. Step 3: Cross multiply
    46,044,000x = 99,465,408 × 99,465,408
  4. Step 4: Simplify right side
    46,044,000x = 9,893,367,388,606,464
  5. Step 5: Solve for x
    x = 9,893,367,388,606,464/46,044,000
  6. Step 6: Final answer
    x = 214,867,678.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.