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Finding the Third Proportional to 780,352,842.75 and 1,127,475,094.88

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Solution

The third proportional to 780,352,842.75 and 1,127,475,094.88 is: 1,629,006,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,352,842.75 : 1,127,475,094.88 = 1,127,475,094.88 : x
  2. Step 2: Convert to fraction form
    780,352,842.75/1,127,475,094.88 = 1,127,475,094.88/x
  3. Step 3: Cross multiply
    780,352,842.75x = 1,127,475,094.88 × 1,127,475,094.88
  4. Step 4: Simplify right side
    780,352,842.75x = 1,271,200,089,563,390,208
  5. Step 5: Solve for x
    x = 1,271,200,089,563,390,208/780,352,842.75
  6. Step 6: Final answer
    x = 1,629,006,802.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.