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Finding the Third Proportional to 23,123,939,778 and 36,794,733,984

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Solution

The third proportional to 23,123,939,778 and 36,794,733,984 is: 58,547,655,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123,939,778 : 36,794,733,984 = 36,794,733,984 : x
  2. Step 2: Convert to fraction form
    23,123,939,778/36,794,733,984 = 36,794,733,984/x
  3. Step 3: Cross multiply
    23,123,939,778x = 36,794,733,984 × 36,794,733,984
  4. Step 4: Simplify right side
    23,123,939,778x = 1,353,852,448,953,324,535,808
  5. Step 5: Solve for x
    x = 1,353,852,448,953,324,535,808/23,123,939,778
  6. Step 6: Final answer
    x = 58,547,655,025.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.