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Finding the Third Proportional to 2,976,457.64 and 6,520,445.58

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Solution

The third proportional to 2,976,457.64 and 6,520,445.58 is: 14,284,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,457.64 : 6,520,445.58 = 6,520,445.58 : x
  2. Step 2: Convert to fraction form
    2,976,457.64/6,520,445.58 = 6,520,445.58/x
  3. Step 3: Cross multiply
    2,976,457.64x = 6,520,445.58 × 6,520,445.58
  4. Step 4: Simplify right side
    2,976,457.64x = 42,516,210,537,289.87
  5. Step 5: Solve for x
    x = 42,516,210,537,289.87/2,976,457.64
  6. Step 6: Final answer
    x = 14,284,164.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.