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Finding the Third Proportional to 3,801,460.50 and 7,872,403.50

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Solution

The third proportional to 3,801,460.50 and 7,872,403.50 is: 16,302,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801,460.50 : 7,872,403.50 = 7,872,403.50 : x
  2. Step 2: Convert to fraction form
    3,801,460.50/7,872,403.50 = 7,872,403.50/x
  3. Step 3: Cross multiply
    3,801,460.50x = 7,872,403.50 × 7,872,403.50
  4. Step 4: Simplify right side
    3,801,460.50x = 61,974,736,866,812.25
  5. Step 5: Solve for x
    x = 61,974,736,866,812.25/3,801,460.50
  6. Step 6: Final answer
    x = 16,302,875.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.