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Finding the Third Proportional to 663,495,738.75 and 1,030,203,621.75

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Solution

The third proportional to 663,495,738.75 and 1,030,203,621.75 is: 1,599,587,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,495,738.75 : 1,030,203,621.75 = 1,030,203,621.75 : x
  2. Step 2: Convert to fraction form
    663,495,738.75/1,030,203,621.75 = 1,030,203,621.75/x
  3. Step 3: Cross multiply
    663,495,738.75x = 1,030,203,621.75 × 1,030,203,621.75
  4. Step 4: Simplify right side
    663,495,738.75x = 1,061,319,502,266,817,024
  5. Step 5: Solve for x
    x = 1,061,319,502,266,817,024/663,495,738.75
  6. Step 6: Final answer
    x = 1,599,587,518.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.