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Finding the Third Proportional to 7,402,073.63 and 16,506,073.69

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Solution

The third proportional to 7,402,073.63 and 16,506,073.69 is: 36,807,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402,073.63 : 16,506,073.69 = 16,506,073.69 : x
  2. Step 2: Convert to fraction form
    7,402,073.63/16,506,073.69 = 16,506,073.69/x
  3. Step 3: Cross multiply
    7,402,073.63x = 16,506,073.69 × 16,506,073.69
  4. Step 4: Simplify right side
    7,402,073.63x = 272,450,468,577,179.84
  5. Step 5: Solve for x
    x = 272,450,468,577,179.84/7,402,073.63
  6. Step 6: Final answer
    x = 36,807,316.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.