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Finding the Third Proportional to 461,754,766 and 715,592,751.50

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Solution

The third proportional to 461,754,766 and 715,592,751.50 is: 1,108,971,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754,766 : 715,592,751.50 = 715,592,751.50 : x
  2. Step 2: Convert to fraction form
    461,754,766/715,592,751.50 = 715,592,751.50/x
  3. Step 3: Cross multiply
    461,754,766x = 715,592,751.50 × 715,592,751.50
  4. Step 4: Simplify right side
    461,754,766x = 512,072,985,999,340,736
  5. Step 5: Solve for x
    x = 512,072,985,999,340,736/461,754,766
  6. Step 6: Final answer
    x = 1,108,971,739.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.