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Finding the Third Proportional to 465,657,536 and 776,049,120

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Solution

The third proportional to 465,657,536 and 776,049,120 is: 1,293,337,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,657,536 : 776,049,120 = 776,049,120 : x
  2. Step 2: Convert to fraction form
    465,657,536/776,049,120 = 776,049,120/x
  3. Step 3: Cross multiply
    465,657,536x = 776,049,120 × 776,049,120
  4. Step 4: Simplify right side
    465,657,536x = 602,252,236,652,774,400
  5. Step 5: Solve for x
    x = 602,252,236,652,774,400/465,657,536
  6. Step 6: Final answer
    x = 1,293,337,249.14

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.