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Finding the Third Proportional to 2,982,216,316 and 4,447,463,032

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Solution

The third proportional to 2,982,216,316 and 4,447,463,032 is: 6,632,626,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982,216,316 : 4,447,463,032 = 4,447,463,032 : x
  2. Step 2: Convert to fraction form
    2,982,216,316/4,447,463,032 = 4,447,463,032/x
  3. Step 3: Cross multiply
    2,982,216,316x = 4,447,463,032 × 4,447,463,032
  4. Step 4: Simplify right side
    2,982,216,316x = 19,779,927,421,006,635,008
  5. Step 5: Solve for x
    x = 19,779,927,421,006,635,008/2,982,216,316
  6. Step 6: Final answer
    x = 6,632,626,652.49

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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.