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Finding the Third Proportional to 1,151,539,852 and 2,507,536,664

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Solution

The third proportional to 1,151,539,852 and 2,507,536,664 is: 5,460,288,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,539,852 : 2,507,536,664 = 2,507,536,664 : x
  2. Step 2: Convert to fraction form
    1,151,539,852/2,507,536,664 = 2,507,536,664/x
  3. Step 3: Cross multiply
    1,151,539,852x = 2,507,536,664 × 2,507,536,664
  4. Step 4: Simplify right side
    1,151,539,852x = 6,287,740,121,304,249,344
  5. Step 5: Solve for x
    x = 6,287,740,121,304,249,344/1,151,539,852
  6. Step 6: Final answer
    x = 5,460,288,769.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.