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Finding the Third Proportional to 584,696,497.50 and 1,300,121,910

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Solution

The third proportional to 584,696,497.50 and 1,300,121,910 is: 2,890,930,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,696,497.50 : 1,300,121,910 = 1,300,121,910 : x
  2. Step 2: Convert to fraction form
    584,696,497.50/1,300,121,910 = 1,300,121,910/x
  3. Step 3: Cross multiply
    584,696,497.50x = 1,300,121,910 × 1,300,121,910
  4. Step 4: Simplify right side
    584,696,497.50x = 1,690,316,980,862,048,000
  5. Step 5: Solve for x
    x = 1,690,316,980,862,048,000/584,696,497.50
  6. Step 6: Final answer
    x = 2,890,930,573.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.