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Finding the Third Proportional to 2,536,705,397 and 5,572,256,746

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Solution

The third proportional to 2,536,705,397 and 5,572,256,746 is: 12,240,304,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,705,397 : 5,572,256,746 = 5,572,256,746 : x
  2. Step 2: Convert to fraction form
    2,536,705,397/5,572,256,746 = 5,572,256,746/x
  3. Step 3: Cross multiply
    2,536,705,397x = 5,572,256,746 × 5,572,256,746
  4. Step 4: Simplify right side
    2,536,705,397x = 31,050,045,243,342,508,032
  5. Step 5: Solve for x
    x = 31,050,045,243,342,508,032/2,536,705,397
  6. Step 6: Final answer
    x = 12,240,304,010.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.