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Finding the Third Proportional to 4,562,416,360,288 and 9,787,142,003,085

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Solution

The third proportional to 4,562,416,360,288 and 9,787,142,003,085 is: 20,995,047,585,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,416,360,288 : 9,787,142,003,085 = 9,787,142,003,085 : x
  2. Step 2: Convert to fraction form
    4,562,416,360,288/9,787,142,003,085 = 9,787,142,003,085/x
  3. Step 3: Cross multiply
    4,562,416,360,288x = 9,787,142,003,085 × 9,787,142,003,085
  4. Step 4: Simplify right side
    4,562,416,360,288x = 95,788,148,588,550,669,547,339,776
  5. Step 5: Solve for x
    x = 95,788,148,588,550,669,547,339,776/4,562,416,360,288
  6. Step 6: Final answer
    x = 20,995,047,585,377.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.