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Finding the Third Proportional to 19,836,207 and 30,638,655

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Solution

The third proportional to 19,836,207 and 30,638,655 is: 47,323,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836,207 : 30,638,655 = 30,638,655 : x
  2. Step 2: Convert to fraction form
    19,836,207/30,638,655 = 30,638,655/x
  3. Step 3: Cross multiply
    19,836,207x = 30,638,655 × 30,638,655
  4. Step 4: Simplify right side
    19,836,207x = 938,727,180,209,025
  5. Step 5: Solve for x
    x = 938,727,180,209,025/19,836,207
  6. Step 6: Final answer
    x = 47,323,925.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.