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Finding the Third Proportional to 1,228,163,090 and 2,899,276,428

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Solution

The third proportional to 1,228,163,090 and 2,899,276,428 is: 6,844,208,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,163,090 : 2,899,276,428 = 2,899,276,428 : x
  2. Step 2: Convert to fraction form
    1,228,163,090/2,899,276,428 = 2,899,276,428/x
  3. Step 3: Cross multiply
    1,228,163,090x = 2,899,276,428 × 2,899,276,428
  4. Step 4: Simplify right side
    1,228,163,090x = 8,405,803,805,956,439,040
  5. Step 5: Solve for x
    x = 8,405,803,805,956,439,040/1,228,163,090
  6. Step 6: Final answer
    x = 6,844,208,130.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.