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Finding the Third Proportional to 15,591,829,356 and 25,595,706,402

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Solution

The third proportional to 15,591,829,356 and 25,595,706,402 is: 42,018,173,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591,829,356 : 25,595,706,402 = 25,595,706,402 : x
  2. Step 2: Convert to fraction form
    15,591,829,356/25,595,706,402 = 25,595,706,402/x
  3. Step 3: Cross multiply
    15,591,829,356x = 25,595,706,402 × 25,595,706,402
  4. Step 4: Simplify right side
    15,591,829,356x = 655,140,186,217,383,723,008
  5. Step 5: Solve for x
    x = 655,140,186,217,383,723,008/15,591,829,356
  6. Step 6: Final answer
    x = 42,018,173,189.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.