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Finding the Third Proportional to 734,654,938.50 and 1,598,445,119.25

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Solution

The third proportional to 734,654,938.50 and 1,598,445,119.25 is: 3,477,859,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,654,938.50 : 1,598,445,119.25 = 1,598,445,119.25 : x
  2. Step 2: Convert to fraction form
    734,654,938.50/1,598,445,119.25 = 1,598,445,119.25/x
  3. Step 3: Cross multiply
    734,654,938.50x = 1,598,445,119.25 × 1,598,445,119.25
  4. Step 4: Simplify right side
    734,654,938.50x = 2,555,026,799,254,146,560
  5. Step 5: Solve for x
    x = 2,555,026,799,254,146,560/734,654,938.50
  6. Step 6: Final answer
    x = 3,477,859,693.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.