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Finding the Third Proportional to 4,369,748.63 and 6,615,341.63

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Solution

The third proportional to 4,369,748.63 and 6,615,341.63 is: 10,014,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369,748.63 : 6,615,341.63 = 6,615,341.63 : x
  2. Step 2: Convert to fraction form
    4,369,748.63/6,615,341.63 = 6,615,341.63/x
  3. Step 3: Cross multiply
    4,369,748.63x = 6,615,341.63 × 6,615,341.63
  4. Step 4: Simplify right side
    4,369,748.63x = 43,762,744,815,457.64
  5. Step 5: Solve for x
    x = 43,762,744,815,457.64/4,369,748.63
  6. Step 6: Final answer
    x = 10,014,934.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.