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Finding the Third Proportional to 413,252,421.75 and 899,142,950.25

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Solution

The third proportional to 413,252,421.75 and 899,142,950.25 is: 1,956,329,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,252,421.75 : 899,142,950.25 = 899,142,950.25 : x
  2. Step 2: Convert to fraction form
    413,252,421.75/899,142,950.25 = 899,142,950.25/x
  3. Step 3: Cross multiply
    413,252,421.75x = 899,142,950.25 × 899,142,950.25
  4. Step 4: Simplify right side
    413,252,421.75x = 808,458,044,984,273,920
  5. Step 5: Solve for x
    x = 808,458,044,984,273,920/413,252,421.75
  6. Step 6: Final answer
    x = 1,956,329,842.09

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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.