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Finding the Third Proportional to 1,874,505,281 and 4,031,117,158

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Solution

The third proportional to 1,874,505,281 and 4,031,117,158 is: 8,668,903,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,505,281 : 4,031,117,158 = 4,031,117,158 : x
  2. Step 2: Convert to fraction form
    1,874,505,281/4,031,117,158 = 4,031,117,158/x
  3. Step 3: Cross multiply
    1,874,505,281x = 4,031,117,158 × 4,031,117,158
  4. Step 4: Simplify right side
    1,874,505,281x = 16,249,905,541,521,997,824
  5. Step 5: Solve for x
    x = 16,249,905,541,521,997,824/1,874,505,281
  6. Step 6: Final answer
    x = 8,668,903,580.18

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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.