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Finding the Third Proportional to 464,899,795.50 and 1,011,517,802.81

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Solution

The third proportional to 464,899,795.50 and 1,011,517,802.81 is: 2,200,836,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,899,795.50 : 1,011,517,802.81 = 1,011,517,802.81 : x
  2. Step 2: Convert to fraction form
    464,899,795.50/1,011,517,802.81 = 1,011,517,802.81/x
  3. Step 3: Cross multiply
    464,899,795.50x = 1,011,517,802.81 × 1,011,517,802.81
  4. Step 4: Simplify right side
    464,899,795.50x = 1,023,168,265,406,627,584
  5. Step 5: Solve for x
    x = 1,023,168,265,406,627,584/464,899,795.50
  6. Step 6: Final answer
    x = 2,200,836,127.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.