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Finding the Third Proportional to 255,771,730,347 and 550,335,966,576

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Solution

The third proportional to 255,771,730,347 and 550,335,966,576 is: 1,184,140,544,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,771,730,347 : 550,335,966,576 = 550,335,966,576 : x
  2. Step 2: Convert to fraction form
    255,771,730,347/550,335,966,576 = 550,335,966,576/x
  3. Step 3: Cross multiply
    255,771,730,347x = 550,335,966,576 × 550,335,966,576
  4. Step 4: Simplify right side
    255,771,730,347x = 302,869,676,107,140,184,408,064
  5. Step 5: Solve for x
    x = 302,869,676,107,140,184,408,064/255,771,730,347
  6. Step 6: Final answer
    x = 1,184,140,544,759.36

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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.