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Finding the Third Proportional to 339,076,102 and 732,358,700

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Solution

The third proportional to 339,076,102 and 732,358,700 is: 1,581,796,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076,102 : 732,358,700 = 732,358,700 : x
  2. Step 2: Convert to fraction form
    339,076,102/732,358,700 = 732,358,700/x
  3. Step 3: Cross multiply
    339,076,102x = 732,358,700 × 732,358,700
  4. Step 4: Simplify right side
    339,076,102x = 536,349,265,465,689,984
  5. Step 5: Solve for x
    x = 536,349,265,465,689,984/339,076,102
  6. Step 6: Final answer
    x = 1,581,796,128.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.