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Finding the Third Proportional to 1,135,243,396 and 2,447,686,280

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Solution

The third proportional to 1,135,243,396 and 2,447,686,280 is: 5,277,430,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,243,396 : 2,447,686,280 = 2,447,686,280 : x
  2. Step 2: Convert to fraction form
    1,135,243,396/2,447,686,280 = 2,447,686,280/x
  3. Step 3: Cross multiply
    1,135,243,396x = 2,447,686,280 × 2,447,686,280
  4. Step 4: Simplify right side
    1,135,243,396x = 5,991,168,125,300,238,336
  5. Step 5: Solve for x
    x = 5,991,168,125,300,238,336/1,135,243,396
  6. Step 6: Final answer
    x = 5,277,430,502.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.