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Finding the Third Proportional to 313,886,574.38 and 516,847,075.13

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Solution

The third proportional to 313,886,574.38 and 516,847,075.13 is: 851,042,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886,574.38 : 516,847,075.13 = 516,847,075.13 : x
  2. Step 2: Convert to fraction form
    313,886,574.38/516,847,075.13 = 516,847,075.13/x
  3. Step 3: Cross multiply
    313,886,574.38x = 516,847,075.13 × 516,847,075.13
  4. Step 4: Simplify right side
    313,886,574.38x = 267,130,899,065,267,392
  5. Step 5: Solve for x
    x = 267,130,899,065,267,392/313,886,574.38
  6. Step 6: Final answer
    x = 851,042,767.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.