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Finding the Third Proportional to 562,652,303,556.45 and 759,150,055,088.90

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Solution

The third proportional to 562,652,303,556.45 and 759,150,055,088.90 is: 1,024,271,654,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,652,303,556.45 : 759,150,055,088.90 = 759,150,055,088.90 : x
  2. Step 2: Convert to fraction form
    562,652,303,556.45/759,150,055,088.90 = 759,150,055,088.90/x
  3. Step 3: Cross multiply
    562,652,303,556.45x = 759,150,055,088.90 × 759,150,055,088.90
  4. Step 4: Simplify right side
    562,652,303,556.45x = 576,308,806,141,479,959,396,352
  5. Step 5: Solve for x
    x = 576,308,806,141,479,959,396,352/562,652,303,556.45
  6. Step 6: Final answer
    x = 1,024,271,654,978.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.