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Finding the Third Proportional to 2,501,094,386 and 3,678,893,211

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Solution

The third proportional to 2,501,094,386 and 3,678,893,211 is: 5,411,333,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501,094,386 : 3,678,893,211 = 3,678,893,211 : x
  2. Step 2: Convert to fraction form
    2,501,094,386/3,678,893,211 = 3,678,893,211/x
  3. Step 3: Cross multiply
    2,501,094,386x = 3,678,893,211 × 3,678,893,211
  4. Step 4: Simplify right side
    2,501,094,386x = 13,534,255,257,941,891,072
  5. Step 5: Solve for x
    x = 13,534,255,257,941,891,072/2,501,094,386
  6. Step 6: Final answer
    x = 5,411,333,268.23

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