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Finding the Third Proportional to 1,272,939,072 and 1,901,569,032

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Solution

The third proportional to 1,272,939,072 and 1,901,569,032 is: 2,840,642,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,939,072 : 1,901,569,032 = 1,901,569,032 : x
  2. Step 2: Convert to fraction form
    1,272,939,072/1,901,569,032 = 1,901,569,032/x
  3. Step 3: Cross multiply
    1,272,939,072x = 1,901,569,032 × 1,901,569,032
  4. Step 4: Simplify right side
    1,272,939,072x = 3,615,964,783,461,416,960
  5. Step 5: Solve for x
    x = 3,615,964,783,461,416,960/1,272,939,072
  6. Step 6: Final answer
    x = 2,840,642,465.14

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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.