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Finding the Third Proportional to 859,743,724 and 1,875,125,424.50

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Solution

The third proportional to 859,743,724 and 1,875,125,424.50 is: 4,089,701,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,743,724 : 1,875,125,424.50 = 1,875,125,424.50 : x
  2. Step 2: Convert to fraction form
    859,743,724/1,875,125,424.50 = 1,875,125,424.50/x
  3. Step 3: Cross multiply
    859,743,724x = 1,875,125,424.50 × 1,875,125,424.50
  4. Step 4: Simplify right side
    859,743,724x = 3,516,095,357,606,305,280
  5. Step 5: Solve for x
    x = 3,516,095,357,606,305,280/859,743,724
  6. Step 6: Final answer
    x = 4,089,701,686.04

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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.