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Finding the Third Proportional to 1,476,343,497 and 2,076,378,349.50

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Solution

The third proportional to 1,476,343,497 and 2,076,378,349.50 is: 2,920,287,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,343,497 : 2,076,378,349.50 = 2,076,378,349.50 : x
  2. Step 2: Convert to fraction form
    1,476,343,497/2,076,378,349.50 = 2,076,378,349.50/x
  3. Step 3: Cross multiply
    1,476,343,497x = 2,076,378,349.50 × 2,076,378,349.50
  4. Step 4: Simplify right side
    1,476,343,497x = 4,311,347,050,272,344,064
  5. Step 5: Solve for x
    x = 4,311,347,050,272,344,064/1,476,343,497
  6. Step 6: Final answer
    x = 2,920,287,222.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.