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Finding the Third Proportional to 13,459,712.10 and 29,355,541.44

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Solution

The third proportional to 13,459,712.10 and 29,355,541.44 is: 64,024,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459,712.10 : 29,355,541.44 = 29,355,541.44 : x
  2. Step 2: Convert to fraction form
    13,459,712.10/29,355,541.44 = 29,355,541.44/x
  3. Step 3: Cross multiply
    13,459,712.10x = 29,355,541.44 × 29,355,541.44
  4. Step 4: Simplify right side
    13,459,712.10x = 861,747,812,974,058.12
  5. Step 5: Solve for x
    x = 861,747,812,974,058.12/13,459,712.10
  6. Step 6: Final answer
    x = 64,024,238.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.