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Finding the Third Proportional to 1,592,465,750 and 2,388,698,875

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Solution

The third proportional to 1,592,465,750 and 2,388,698,875 is: 3,583,048,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,465,750 : 2,388,698,875 = 2,388,698,875 : x
  2. Step 2: Convert to fraction form
    1,592,465,750/2,388,698,875 = 2,388,698,875/x
  3. Step 3: Cross multiply
    1,592,465,750x = 2,388,698,875 × 2,388,698,875
  4. Step 4: Simplify right side
    1,592,465,750x = 5,705,882,315,426,266,112
  5. Step 5: Solve for x
    x = 5,705,882,315,426,266,112/1,592,465,750
  6. Step 6: Final answer
    x = 3,583,048,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.