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Finding the Third Proportional to 390,314,793,155.25 and 856,029,281,166.75

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Solution

The third proportional to 390,314,793,155.25 and 856,029,281,166.75 is: 1,877,423,410,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,314,793,155.25 : 856,029,281,166.75 = 856,029,281,166.75 : x
  2. Step 2: Convert to fraction form
    390,314,793,155.25/856,029,281,166.75 = 856,029,281,166.75/x
  3. Step 3: Cross multiply
    390,314,793,155.25x = 856,029,281,166.75 × 856,029,281,166.75
  4. Step 4: Simplify right side
    390,314,793,155.25x = 732,786,130,214,862,729,510,912
  5. Step 5: Solve for x
    x = 732,786,130,214,862,729,510,912/390,314,793,155.25
  6. Step 6: Final answer
    x = 1,877,423,410,706.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.