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Finding the Third Proportional to 956,617,575 and 1,367,964,765

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Solution

The third proportional to 956,617,575 and 1,367,964,765 is: 1,956,191,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,617,575 : 1,367,964,765 = 1,367,964,765 : x
  2. Step 2: Convert to fraction form
    956,617,575/1,367,964,765 = 1,367,964,765/x
  3. Step 3: Cross multiply
    956,617,575x = 1,367,964,765 × 1,367,964,765
  4. Step 4: Simplify right side
    956,617,575x = 1,871,327,598,281,505,280
  5. Step 5: Solve for x
    x = 1,871,327,598,281,505,280/956,617,575
  6. Step 6: Final answer
    x = 1,956,191,948.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.