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Finding the Third Proportional to 549,581,664 and 1,185,254,340

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Solution

The third proportional to 549,581,664 and 1,185,254,340 is: 2,556,176,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,581,664 : 1,185,254,340 = 1,185,254,340 : x
  2. Step 2: Convert to fraction form
    549,581,664/1,185,254,340 = 1,185,254,340/x
  3. Step 3: Cross multiply
    549,581,664x = 1,185,254,340 × 1,185,254,340
  4. Step 4: Simplify right side
    549,581,664x = 1,404,827,850,488,835,584
  5. Step 5: Solve for x
    x = 1,404,827,850,488,835,584/549,581,664
  6. Step 6: Final answer
    x = 2,556,176,711.33

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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.