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Finding the Third Proportional to 344,544,772.50 and 529,590,223.50

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Solution

The third proportional to 344,544,772.50 and 529,590,223.50 is: 814,018,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,544,772.50 : 529,590,223.50 = 529,590,223.50 : x
  2. Step 2: Convert to fraction form
    344,544,772.50/529,590,223.50 = 529,590,223.50/x
  3. Step 3: Cross multiply
    344,544,772.50x = 529,590,223.50 × 529,590,223.50
  4. Step 4: Simplify right side
    344,544,772.50x = 280,465,804,826,779,968
  5. Step 5: Solve for x
    x = 280,465,804,826,779,968/344,544,772.50
  6. Step 6: Final answer
    x = 814,018,459.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.