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Finding the Third Proportional to 397,684,434,402 and 872,362,623,627.04

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Solution

The third proportional to 397,684,434,402 and 872,362,623,627.04 is: 1,913,619,144,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,684,434,402 : 872,362,623,627.04 = 872,362,623,627.04 : x
  2. Step 2: Convert to fraction form
    397,684,434,402/872,362,623,627.04 = 872,362,623,627.04/x
  3. Step 3: Cross multiply
    397,684,434,402x = 872,362,623,627.04 × 872,362,623,627.04
  4. Step 4: Simplify right side
    397,684,434,402x = 761,016,547,101,452,697,337,856
  5. Step 5: Solve for x
    x = 761,016,547,101,452,697,337,856/397,684,434,402
  6. Step 6: Final answer
    x = 1,913,619,144,399.75

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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.