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Finding the Third Proportional to 712,142,628 and 1,518,349,584

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Solution

The third proportional to 712,142,628 and 1,518,349,584 is: 3,237,252,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,142,628 : 1,518,349,584 = 1,518,349,584 : x
  2. Step 2: Convert to fraction form
    712,142,628/1,518,349,584 = 1,518,349,584/x
  3. Step 3: Cross multiply
    712,142,628x = 1,518,349,584 × 1,518,349,584
  4. Step 4: Simplify right side
    712,142,628x = 2,305,385,459,232,973,056
  5. Step 5: Solve for x
    x = 2,305,385,459,232,973,056/712,142,628
  6. Step 6: Final answer
    x = 3,237,252,438.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.