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Finding the Third Proportional to 461,994,970 and 704,628,802.50

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Solution

The third proportional to 461,994,970 and 704,628,802.50 is: 1,074,690,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,994,970 : 704,628,802.50 = 704,628,802.50 : x
  2. Step 2: Convert to fraction form
    461,994,970/704,628,802.50 = 704,628,802.50/x
  3. Step 3: Cross multiply
    461,994,970x = 704,628,802.50 × 704,628,802.50
  4. Step 4: Simplify right side
    461,994,970x = 496,501,749,312,584,000
  5. Step 5: Solve for x
    x = 496,501,749,312,584,000/461,994,970
  6. Step 6: Final answer
    x = 1,074,690,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.