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Finding the Third Proportional to 774,056,256 and 1,671,249,792

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Solution

The third proportional to 774,056,256 and 1,671,249,792 is: 3,608,362,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,056,256 : 1,671,249,792 = 1,671,249,792 : x
  2. Step 2: Convert to fraction form
    774,056,256/1,671,249,792 = 1,671,249,792/x
  3. Step 3: Cross multiply
    774,056,256x = 1,671,249,792 × 1,671,249,792
  4. Step 4: Simplify right side
    774,056,256x = 2,793,075,867,260,043,264
  5. Step 5: Solve for x
    x = 2,793,075,867,260,043,264/774,056,256
  6. Step 6: Final answer
    x = 3,608,362,887.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.