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Finding the Third Proportional to 7,547,347 and 16,577,394

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Solution

The third proportional to 7,547,347 and 16,577,394 is: 36,411,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,347 : 16,577,394 = 16,577,394 : x
  2. Step 2: Convert to fraction form
    7,547,347/16,577,394 = 16,577,394/x
  3. Step 3: Cross multiply
    7,547,347x = 16,577,394 × 16,577,394
  4. Step 4: Simplify right side
    7,547,347x = 274,809,991,831,236
  5. Step 5: Solve for x
    x = 274,809,991,831,236/7,547,347
  6. Step 6: Final answer
    x = 36,411,469.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.