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Finding the Third Proportional to 66,047,186 and 97,129,443

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Solution

The third proportional to 66,047,186 and 97,129,443 is: 142,839,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,047,186 : 97,129,443 = 97,129,443 : x
  2. Step 2: Convert to fraction form
    66,047,186/97,129,443 = 97,129,443/x
  3. Step 3: Cross multiply
    66,047,186x = 97,129,443 × 97,129,443
  4. Step 4: Simplify right side
    66,047,186x = 9,434,128,697,490,248
  5. Step 5: Solve for x
    x = 9,434,128,697,490,248/66,047,186
  6. Step 6: Final answer
    x = 142,839,222.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.