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Finding the Third Proportional to 774,510,939,826 and 1,657,822,257,540

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Solution

The third proportional to 774,510,939,826 and 1,657,822,257,540 is: 3,548,529,137,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,510,939,826 : 1,657,822,257,540 = 1,657,822,257,540 : x
  2. Step 2: Convert to fraction form
    774,510,939,826/1,657,822,257,540 = 1,657,822,257,540/x
  3. Step 3: Cross multiply
    774,510,939,826x = 1,657,822,257,540 × 1,657,822,257,540
  4. Step 4: Simplify right side
    774,510,939,826x = 2,748,374,637,595,021,891,600,384
  5. Step 5: Solve for x
    x = 2,748,374,637,595,021,891,600,384/774,510,939,826
  6. Step 6: Final answer
    x = 3,548,529,137,900.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.