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Finding the Third Proportional to 803,764,488.38 and 1,730,686,739.63

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Solution

The third proportional to 803,764,488.38 and 1,730,686,739.63 is: 3,726,559,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,764,488.38 : 1,730,686,739.63 = 1,730,686,739.63 : x
  2. Step 2: Convert to fraction form
    803,764,488.38/1,730,686,739.63 = 1,730,686,739.63/x
  3. Step 3: Cross multiply
    803,764,488.38x = 1,730,686,739.63 × 1,730,686,739.63
  4. Step 4: Simplify right side
    803,764,488.38x = 2,995,276,590,713,812,480
  5. Step 5: Solve for x
    x = 2,995,276,590,713,812,480/803,764,488.38
  6. Step 6: Final answer
    x = 3,726,559,998.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.