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Finding the Third Proportional to 477,927,366.19 and 738,115,884.70

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Solution

The third proportional to 477,927,366.19 and 738,115,884.70 is: 1,139,953,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,927,366.19 : 738,115,884.70 = 738,115,884.70 : x
  2. Step 2: Convert to fraction form
    477,927,366.19/738,115,884.70 = 738,115,884.70/x
  3. Step 3: Cross multiply
    477,927,366.19x = 738,115,884.70 × 738,115,884.70
  4. Step 4: Simplify right side
    477,927,366.19x = 544,815,059,251,069,504
  5. Step 5: Solve for x
    x = 544,815,059,251,069,504/477,927,366.19
  6. Step 6: Final answer
    x = 1,139,953,678.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.