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Finding the Third Proportional to 1,218,458,044 and 1,856,256,090

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Solution

The third proportional to 1,218,458,044 and 1,856,256,090 is: 2,827,907,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,458,044 : 1,856,256,090 = 1,856,256,090 : x
  2. Step 2: Convert to fraction form
    1,218,458,044/1,856,256,090 = 1,856,256,090/x
  3. Step 3: Cross multiply
    1,218,458,044x = 1,856,256,090 × 1,856,256,090
  4. Step 4: Simplify right side
    1,218,458,044x = 3,445,686,671,662,088,192
  5. Step 5: Solve for x
    x = 3,445,686,671,662,088,192/1,218,458,044
  6. Step 6: Final answer
    x = 2,827,907,525.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.