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Finding the Third Proportional to 549,581,640 and 1,185,254,304

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Solution

The third proportional to 549,581,640 and 1,185,254,304 is: 2,556,176,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,581,640 : 1,185,254,304 = 1,185,254,304 : x
  2. Step 2: Convert to fraction form
    549,581,640/1,185,254,304 = 1,185,254,304/x
  3. Step 3: Cross multiply
    549,581,640x = 1,185,254,304 × 1,185,254,304
  4. Step 4: Simplify right side
    549,581,640x = 1,404,827,765,150,524,416
  5. Step 5: Solve for x
    x = 1,404,827,765,150,524,416/549,581,640
  6. Step 6: Final answer
    x = 2,556,176,667.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.