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Finding the Third Proportional to 5,877,411 and 9,078,142.50

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Solution

The third proportional to 5,877,411 and 9,078,142.50 is: 14,021,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,411 : 9,078,142.50 = 9,078,142.50 : x
  2. Step 2: Convert to fraction form
    5,877,411/9,078,142.50 = 9,078,142.50/x
  3. Step 3: Cross multiply
    5,877,411x = 9,078,142.50 × 9,078,142.50
  4. Step 4: Simplify right side
    5,877,411x = 82,412,671,250,306.25
  5. Step 5: Solve for x
    x = 82,412,671,250,306.25/5,877,411
  6. Step 6: Final answer
    x = 14,021,934.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.