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Finding the Third Proportional to 1,656,868,416 and 2,572,604,079

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Solution

The third proportional to 1,656,868,416 and 2,572,604,079 is: 3,994,458,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,868,416 : 2,572,604,079 = 2,572,604,079 : x
  2. Step 2: Convert to fraction form
    1,656,868,416/2,572,604,079 = 2,572,604,079/x
  3. Step 3: Cross multiply
    1,656,868,416x = 2,572,604,079 × 2,572,604,079
  4. Step 4: Simplify right side
    1,656,868,416x = 6,618,291,747,287,438,336
  5. Step 5: Solve for x
    x = 6,618,291,747,287,438,336/1,656,868,416
  6. Step 6: Final answer
    x = 3,994,458,270.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.