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Finding the Third Proportional to 5,849,282 and 12,623,386

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Solution

The third proportional to 5,849,282 and 12,623,386 is: 27,242,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,282 : 12,623,386 = 12,623,386 : x
  2. Step 2: Convert to fraction form
    5,849,282/12,623,386 = 12,623,386/x
  3. Step 3: Cross multiply
    5,849,282x = 12,623,386 × 12,623,386
  4. Step 4: Simplify right side
    5,849,282x = 159,349,874,104,996
  5. Step 5: Solve for x
    x = 159,349,874,104,996/5,849,282
  6. Step 6: Final answer
    x = 27,242,638.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.