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Finding the Third Proportional to 14,787,724,206 and 32,881,772,508

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Solution

The third proportional to 14,787,724,206 and 32,881,772,508 is: 73,115,440,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787,724,206 : 32,881,772,508 = 32,881,772,508 : x
  2. Step 2: Convert to fraction form
    14,787,724,206/32,881,772,508 = 32,881,772,508/x
  3. Step 3: Cross multiply
    14,787,724,206x = 32,881,772,508 × 32,881,772,508
  4. Step 4: Simplify right side
    14,787,724,206x = 1,081,210,963,267,864,625,152
  5. Step 5: Solve for x
    x = 1,081,210,963,267,864,625,152/14,787,724,206
  6. Step 6: Final answer
    x = 73,115,440,091.12

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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.