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Finding the Third Proportional to 5,817,429 and 12,564,090

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Solution

The third proportional to 5,817,429 and 12,564,090 is: 27,135,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817,429 : 12,564,090 = 12,564,090 : x
  2. Step 2: Convert to fraction form
    5,817,429/12,564,090 = 12,564,090/x
  3. Step 3: Cross multiply
    5,817,429x = 12,564,090 × 12,564,090
  4. Step 4: Simplify right side
    5,817,429x = 157,856,357,528,100
  5. Step 5: Solve for x
    x = 157,856,357,528,100/5,817,429
  6. Step 6: Final answer
    x = 27,135,072.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.