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Finding the Third Proportional to 426,657,825,114 and 616,446,878,640

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Solution

The third proportional to 426,657,825,114 and 616,446,878,640 is: 890,659,286,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,657,825,114 : 616,446,878,640 = 616,446,878,640 : x
  2. Step 2: Convert to fraction form
    426,657,825,114/616,446,878,640 = 616,446,878,640/x
  3. Step 3: Cross multiply
    426,657,825,114x = 616,446,878,640 × 616,446,878,640
  4. Step 4: Simplify right side
    426,657,825,114x = 380,006,754,184,998,896,533,504
  5. Step 5: Solve for x
    x = 380,006,754,184,998,896,533,504/426,657,825,114
  6. Step 6: Final answer
    x = 890,659,286,709.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.