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Finding the Third Proportional to 1,151,829,168 and 1,854,824,312

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Solution

The third proportional to 1,151,829,168 and 1,854,824,312 is: 2,986,878,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,829,168 : 1,854,824,312 = 1,854,824,312 : x
  2. Step 2: Convert to fraction form
    1,151,829,168/1,854,824,312 = 1,854,824,312/x
  3. Step 3: Cross multiply
    1,151,829,168x = 1,854,824,312 × 1,854,824,312
  4. Step 4: Simplify right side
    1,151,829,168x = 3,440,373,228,386,273,280
  5. Step 5: Solve for x
    x = 3,440,373,228,386,273,280/1,151,829,168
  6. Step 6: Final answer
    x = 2,986,878,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.