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Finding the Third Proportional to 384,750,663.75 and 807,292,687.50

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Solution

The third proportional to 384,750,663.75 and 807,292,687.50 is: 1,693,880,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,750,663.75 : 807,292,687.50 = 807,292,687.50 : x
  2. Step 2: Convert to fraction form
    384,750,663.75/807,292,687.50 = 807,292,687.50/x
  3. Step 3: Cross multiply
    384,750,663.75x = 807,292,687.50 × 807,292,687.50
  4. Step 4: Simplify right side
    384,750,663.75x = 651,721,483,290,972,672
  5. Step 5: Solve for x
    x = 651,721,483,290,972,672/384,750,663.75
  6. Step 6: Final answer
    x = 1,693,880,075.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.