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Finding the Third Proportional to 465,657,810 and 776,049,579

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Solution

The third proportional to 465,657,810 and 776,049,579 is: 1,293,338,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,657,810 : 776,049,579 = 776,049,579 : x
  2. Step 2: Convert to fraction form
    465,657,810/776,049,579 = 776,049,579/x
  3. Step 3: Cross multiply
    465,657,810x = 776,049,579 × 776,049,579
  4. Step 4: Simplify right side
    465,657,810x = 602,252,949,066,077,184
  5. Step 5: Solve for x
    x = 602,252,949,066,077,184/465,657,810
  6. Step 6: Final answer
    x = 1,293,338,018.03

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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.