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Finding the Third Proportional to 9,425,276,070 and 14,056,179,207

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Solution

The third proportional to 9,425,276,070 and 14,056,179,207 is: 20,962,375,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,276,070 : 14,056,179,207 = 14,056,179,207 : x
  2. Step 2: Convert to fraction form
    9,425,276,070/14,056,179,207 = 14,056,179,207/x
  3. Step 3: Cross multiply
    9,425,276,070x = 14,056,179,207 × 14,056,179,207
  4. Step 4: Simplify right side
    9,425,276,070x = 197,576,173,899,299,160,064
  5. Step 5: Solve for x
    x = 197,576,173,899,299,160,064/9,425,276,070
  6. Step 6: Final answer
    x = 20,962,375,259.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.