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Finding the Third Proportional to 6,468,430 and 13,834,363

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Solution

The third proportional to 6,468,430 and 13,834,363 is: 29,588,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,430 : 13,834,363 = 13,834,363 : x
  2. Step 2: Convert to fraction form
    6,468,430/13,834,363 = 13,834,363/x
  3. Step 3: Cross multiply
    6,468,430x = 13,834,363 × 13,834,363
  4. Step 4: Simplify right side
    6,468,430x = 191,389,599,615,769
  5. Step 5: Solve for x
    x = 191,389,599,615,769/6,468,430
  6. Step 6: Final answer
    x = 29,588,261.70

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Why These Related Problems?

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