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Finding the Third Proportional to 765,235,960 and 1,147,654,649.50

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Solution

The third proportional to 765,235,960 and 1,147,654,649.50 is: 1,721,183,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,235,960 : 1,147,654,649.50 = 1,147,654,649.50 : x
  2. Step 2: Convert to fraction form
    765,235,960/1,147,654,649.50 = 1,147,654,649.50/x
  3. Step 3: Cross multiply
    765,235,960x = 1,147,654,649.50 × 1,147,654,649.50
  4. Step 4: Simplify right side
    765,235,960x = 1,317,111,194,518,967,808
  5. Step 5: Solve for x
    x = 1,317,111,194,518,967,808/765,235,960
  6. Step 6: Final answer
    x = 1,721,183,090.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.