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Finding the Third Proportional to 764,501,031.84 and 1,180,549,293.89

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Solution

The third proportional to 764,501,031.84 and 1,180,549,293.89 is: 1,823,014,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,501,031.84 : 1,180,549,293.89 = 1,180,549,293.89 : x
  2. Step 2: Convert to fraction form
    764,501,031.84/1,180,549,293.89 = 1,180,549,293.89/x
  3. Step 3: Cross multiply
    764,501,031.84x = 1,180,549,293.89 × 1,180,549,293.89
  4. Step 4: Simplify right side
    764,501,031.84x = 1,393,696,635,305,594,112
  5. Step 5: Solve for x
    x = 1,393,696,635,305,594,112/764,501,031.84
  6. Step 6: Final answer
    x = 1,823,014,721.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.