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Finding the Third Proportional to 14,787,724,275 and 32,881,772,646

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Solution

The third proportional to 14,787,724,275 and 32,881,772,646 is: 73,115,440,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787,724,275 : 32,881,772,646 = 32,881,772,646 : x
  2. Step 2: Convert to fraction form
    14,787,724,275/32,881,772,646 = 32,881,772,646/x
  3. Step 3: Cross multiply
    14,787,724,275x = 32,881,772,646 × 32,881,772,646
  4. Step 4: Simplify right side
    14,787,724,275x = 1,081,210,972,343,233,806,336
  5. Step 5: Solve for x
    x = 1,081,210,972,343,233,806,336/14,787,724,275
  6. Step 6: Final answer
    x = 73,115,440,363.68

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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.