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Finding the Third Proportional to 2,953,071 and 6,315,624

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Solution

The third proportional to 2,953,071 and 6,315,624 is: 13,506,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,071 : 6,315,624 = 6,315,624 : x
  2. Step 2: Convert to fraction form
    2,953,071/6,315,624 = 6,315,624/x
  3. Step 3: Cross multiply
    2,953,071x = 6,315,624 × 6,315,624
  4. Step 4: Simplify right side
    2,953,071x = 39,887,106,509,376
  5. Step 5: Solve for x
    x = 39,887,106,509,376/2,953,071
  6. Step 6: Final answer
    x = 13,506,992.05

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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.