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Finding the Third Proportional to 46,369,684,070.44 and 100,439,108,638.88

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Solution

The third proportional to 46,369,684,070.44 and 100,439,108,638.88 is: 217,556,249,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,369,684,070.44 : 100,439,108,638.88 = 100,439,108,638.88 : x
  2. Step 2: Convert to fraction form
    46,369,684,070.44/100,439,108,638.88 = 100,439,108,638.88/x
  3. Step 3: Cross multiply
    46,369,684,070.44x = 100,439,108,638.88 × 100,439,108,638.88
  4. Step 4: Simplify right side
    46,369,684,070.44x = 10,088,014,544,172,740,509,696
  5. Step 5: Solve for x
    x = 10,088,014,544,172,740,509,696/46,369,684,070.44
  6. Step 6: Final answer
    x = 217,556,249,226.29

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1.5x scale

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.