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Finding the Third Proportional to 549,581,661 and 1,185,254,334

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Solution

The third proportional to 549,581,661 and 1,185,254,334 is: 2,556,176,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,581,661 : 1,185,254,334 = 1,185,254,334 : x
  2. Step 2: Convert to fraction form
    549,581,661/1,185,254,334 = 1,185,254,334/x
  3. Step 3: Cross multiply
    549,581,661x = 1,185,254,334 × 1,185,254,334
  4. Step 4: Simplify right side
    549,581,661x = 1,404,827,836,265,783,552
  5. Step 5: Solve for x
    x = 1,404,827,836,265,783,552/549,581,661
  6. Step 6: Final answer
    x = 2,556,176,699.40

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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.