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Finding the Third Proportional to 954,745,116 and 2,056,398,312

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Solution

The third proportional to 954,745,116 and 2,056,398,312 is: 4,429,217,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,745,116 : 2,056,398,312 = 2,056,398,312 : x
  2. Step 2: Convert to fraction form
    954,745,116/2,056,398,312 = 2,056,398,312/x
  3. Step 3: Cross multiply
    954,745,116x = 2,056,398,312 × 2,056,398,312
  4. Step 4: Simplify right side
    954,745,116x = 4,228,774,017,596,449,280
  5. Step 5: Solve for x
    x = 4,228,774,017,596,449,280/954,745,116
  6. Step 6: Final answer
    x = 4,429,217,753.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.