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Finding the Third Proportional to 465,657,806 and 776,049,573

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Solution

The third proportional to 465,657,806 and 776,049,573 is: 1,293,338,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,657,806 : 776,049,573 = 776,049,573 : x
  2. Step 2: Convert to fraction form
    465,657,806/776,049,573 = 776,049,573/x
  3. Step 3: Cross multiply
    465,657,806x = 776,049,573 × 776,049,573
  4. Step 4: Simplify right side
    465,657,806x = 602,252,939,753,482,368
  5. Step 5: Solve for x
    x = 602,252,939,753,482,368/465,657,806
  6. Step 6: Final answer
    x = 1,293,338,009.14

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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.