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Finding the Third Proportional to 6,142,575 and 9,056,398.50

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Solution

The third proportional to 6,142,575 and 9,056,398.50 is: 13,352,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,575 : 9,056,398.50 = 9,056,398.50 : x
  2. Step 2: Convert to fraction form
    6,142,575/9,056,398.50 = 9,056,398.50/x
  3. Step 3: Cross multiply
    6,142,575x = 9,056,398.50 × 9,056,398.50
  4. Step 4: Simplify right side
    6,142,575x = 82,018,353,790,802.25
  5. Step 5: Solve for x
    x = 82,018,353,790,802.25/6,142,575
  6. Step 6: Final answer
    x = 13,352,438.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.