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Finding the Third Proportional to 9,636,506 and 14,092,203

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Solution

The third proportional to 9,636,506 and 14,092,203 is: 20,608,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636,506 : 14,092,203 = 14,092,203 : x
  2. Step 2: Convert to fraction form
    9,636,506/14,092,203 = 14,092,203/x
  3. Step 3: Cross multiply
    9,636,506x = 14,092,203 × 14,092,203
  4. Step 4: Simplify right side
    9,636,506x = 198,590,185,393,209
  5. Step 5: Solve for x
    x = 198,590,185,393,209/9,636,506
  6. Step 6: Final answer
    x = 20,608,111.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.