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Finding the Third Proportional to 553,938,048 and 1,199,798,784

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Solution

The third proportional to 553,938,048 and 1,199,798,784 is: 2,598,696,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,938,048 : 1,199,798,784 = 1,199,798,784 : x
  2. Step 2: Convert to fraction form
    553,938,048/1,199,798,784 = 1,199,798,784/x
  3. Step 3: Cross multiply
    553,938,048x = 1,199,798,784 × 1,199,798,784
  4. Step 4: Simplify right side
    553,938,048x = 1,439,517,122,087,878,656
  5. Step 5: Solve for x
    x = 1,439,517,122,087,878,656/553,938,048
  6. Step 6: Final answer
    x = 2,598,696,961.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.