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Finding the Third Proportional to 344,547,070.50 and 529,593,640.50

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Solution

The third proportional to 344,547,070.50 and 529,593,640.50 is: 814,023,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,070.50 : 529,593,640.50 = 529,593,640.50 : x
  2. Step 2: Convert to fraction form
    344,547,070.50/529,593,640.50 = 529,593,640.50/x
  3. Step 3: Cross multiply
    344,547,070.50x = 529,593,640.50 × 529,593,640.50
  4. Step 4: Simplify right side
    344,547,070.50x = 280,469,424,058,043,232
  5. Step 5: Solve for x
    x = 280,469,424,058,043,232/344,547,070.50
  6. Step 6: Final answer
    x = 814,023,534.29

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