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Finding the Third Proportional to 465,657,804 and 776,049,570

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Solution

The third proportional to 465,657,804 and 776,049,570 is: 1,293,338,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,657,804 : 776,049,570 = 776,049,570 : x
  2. Step 2: Convert to fraction form
    465,657,804/776,049,570 = 776,049,570/x
  3. Step 3: Cross multiply
    465,657,804x = 776,049,570 × 776,049,570
  4. Step 4: Simplify right side
    465,657,804x = 602,252,935,097,184,896
  5. Step 5: Solve for x
    x = 602,252,935,097,184,896/465,657,804
  6. Step 6: Final answer
    x = 1,293,338,004.70

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Why These Related Problems?

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