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Finding the Third Proportional to 767,555,567.16 and 1,179,059,246.16

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Solution

The third proportional to 767,555,567.16 and 1,179,059,246.16 is: 1,811,179,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,555,567.16 : 1,179,059,246.16 = 1,179,059,246.16 : x
  2. Step 2: Convert to fraction form
    767,555,567.16/1,179,059,246.16 = 1,179,059,246.16/x
  3. Step 3: Cross multiply
    767,555,567.16x = 1,179,059,246.16 × 1,179,059,246.16
  4. Step 4: Simplify right side
    767,555,567.16x = 1,390,180,705,946,426,368
  5. Step 5: Solve for x
    x = 1,390,180,705,946,426,368/767,555,567.16
  6. Step 6: Final answer
    x = 1,811,179,236.31

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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.