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Finding the Third Proportional to 1,570,440,663 and 2,325,338,955

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Solution

The third proportional to 1,570,440,663 and 2,325,338,955 is: 3,443,110,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,440,663 : 2,325,338,955 = 2,325,338,955 : x
  2. Step 2: Convert to fraction form
    1,570,440,663/2,325,338,955 = 2,325,338,955/x
  3. Step 3: Cross multiply
    1,570,440,663x = 2,325,338,955 × 2,325,338,955
  4. Step 4: Simplify right side
    1,570,440,663x = 5,407,201,255,640,492,032
  5. Step 5: Solve for x
    x = 5,407,201,255,640,492,032/1,570,440,663
  6. Step 6: Final answer
    x = 3,443,110,830.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.