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Finding the Third Proportional to 1,539,323,838 and 3,360,908,457

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Solution

The third proportional to 1,539,323,838 and 3,360,908,457 is: 7,338,095,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,323,838 : 3,360,908,457 = 3,360,908,457 : x
  2. Step 2: Convert to fraction form
    1,539,323,838/3,360,908,457 = 3,360,908,457/x
  3. Step 3: Cross multiply
    1,539,323,838x = 3,360,908,457 × 3,360,908,457
  4. Step 4: Simplify right side
    1,539,323,838x = 11,295,705,656,334,120,960
  5. Step 5: Solve for x
    x = 11,295,705,656,334,120,960/1,539,323,838
  6. Step 6: Final answer
    x = 7,338,095,712.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.