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Finding the Third Proportional to 14,787,724,197 and 32,881,772,490

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Solution

The third proportional to 14,787,724,197 and 32,881,772,490 is: 73,115,440,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787,724,197 : 32,881,772,490 = 32,881,772,490 : x
  2. Step 2: Convert to fraction form
    14,787,724,197/32,881,772,490 = 32,881,772,490/x
  3. Step 3: Cross multiply
    14,787,724,197x = 32,881,772,490 × 32,881,772,490
  4. Step 4: Simplify right side
    14,787,724,197x = 1,081,210,962,084,120,756,224
  5. Step 5: Solve for x
    x = 1,081,210,962,084,120,756,224/14,787,724,197
  6. Step 6: Final answer
    x = 73,115,440,055.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.