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Finding the Third Proportional to 14,009,928 and 30,411,210

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Solution

The third proportional to 14,009,928 and 30,411,210 is: 66,013,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009,928 : 30,411,210 = 30,411,210 : x
  2. Step 2: Convert to fraction form
    14,009,928/30,411,210 = 30,411,210/x
  3. Step 3: Cross multiply
    14,009,928x = 30,411,210 × 30,411,210
  4. Step 4: Simplify right side
    14,009,928x = 924,841,693,664,100
  5. Step 5: Solve for x
    x = 924,841,693,664,100/14,009,928
  6. Step 6: Final answer
    x = 66,013,308.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.