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Finding the Third Proportional to 10,454,152.50 and 22,421,650.50

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Solution

The third proportional to 10,454,152.50 and 22,421,650.50 is: 48,089,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454,152.50 : 22,421,650.50 = 22,421,650.50 : x
  2. Step 2: Convert to fraction form
    10,454,152.50/22,421,650.50 = 22,421,650.50/x
  3. Step 3: Cross multiply
    10,454,152.50x = 22,421,650.50 × 22,421,650.50
  4. Step 4: Simplify right side
    10,454,152.50x = 502,730,411,144,150.25
  5. Step 5: Solve for x
    x = 502,730,411,144,150.25/10,454,152.50
  6. Step 6: Final answer
    x = 48,089,064.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.