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Finding the Third Proportional to 26,465,661,352 and 40,974,668,416

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Solution

The third proportional to 26,465,661,352 and 40,974,668,416 is: 63,437,804,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465,661,352 : 40,974,668,416 = 40,974,668,416 : x
  2. Step 2: Convert to fraction form
    26,465,661,352/40,974,668,416 = 40,974,668,416/x
  3. Step 3: Cross multiply
    26,465,661,352x = 40,974,668,416 × 40,974,668,416
  4. Step 4: Simplify right side
    26,465,661,352x = 1,678,923,451,801,148,063,744
  5. Step 5: Solve for x
    x = 1,678,923,451,801,148,063,744/26,465,661,352
  6. Step 6: Final answer
    x = 63,437,804,537.40

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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.