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Finding the Third Proportional to 344,795,276 and 766,118,047

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Solution

The third proportional to 344,795,276 and 766,118,047 is: 1,702,276,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,276 : 766,118,047 = 766,118,047 : x
  2. Step 2: Convert to fraction form
    344,795,276/766,118,047 = 766,118,047/x
  3. Step 3: Cross multiply
    344,795,276x = 766,118,047 × 766,118,047
  4. Step 4: Simplify right side
    344,795,276x = 586,936,861,939,094,272
  5. Step 5: Solve for x
    x = 586,936,861,939,094,272/344,795,276
  6. Step 6: Final answer
    x = 1,702,276,402.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.