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Finding the Third Proportional to 6,900,480 and 14,973,840

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Solution

The third proportional to 6,900,480 and 14,973,840 is: 32,492,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900,480 : 14,973,840 = 14,973,840 : x
  2. Step 2: Convert to fraction form
    6,900,480/14,973,840 = 14,973,840/x
  3. Step 3: Cross multiply
    6,900,480x = 14,973,840 × 14,973,840
  4. Step 4: Simplify right side
    6,900,480x = 224,215,884,345,600
  5. Step 5: Solve for x
    x = 224,215,884,345,600/6,900,480
  6. Step 6: Final answer
    x = 32,492,795.33

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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.