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Finding the Third Proportional to 4,002,744,438,258 and 5,636,746,211,740

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Solution

The third proportional to 4,002,744,438,258 and 5,636,746,211,740 is: 7,937,780,776,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002,744,438,258 : 5,636,746,211,740 = 5,636,746,211,740 : x
  2. Step 2: Convert to fraction form
    4,002,744,438,258/5,636,746,211,740 = 5,636,746,211,740/x
  3. Step 3: Cross multiply
    4,002,744,438,258x = 5,636,746,211,740 × 5,636,746,211,740
  4. Step 4: Simplify right side
    4,002,744,438,258x = 31,772,907,855,565,242,463,420,416
  5. Step 5: Solve for x
    x = 31,772,907,855,565,242,463,420,416/4,002,744,438,258
  6. Step 6: Final answer
    x = 7,937,780,776,579.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.