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Finding the Third Proportional to 589,572,752.25 and 1,261,966,466.25

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Solution

The third proportional to 589,572,752.25 and 1,261,966,466.25 is: 2,701,209,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,572,752.25 : 1,261,966,466.25 = 1,261,966,466.25 : x
  2. Step 2: Convert to fraction form
    589,572,752.25/1,261,966,466.25 = 1,261,966,466.25/x
  3. Step 3: Cross multiply
    589,572,752.25x = 1,261,966,466.25 × 1,261,966,466.25
  4. Step 4: Simplify right side
    589,572,752.25x = 1,592,559,361,939,512,320
  5. Step 5: Solve for x
    x = 1,592,559,361,939,512,320/589,572,752.25
  6. Step 6: Final answer
    x = 2,701,209,233.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.