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Finding the Third Proportional to 2,143,371,964 and 4,615,164,624

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Solution

The third proportional to 2,143,371,964 and 4,615,164,624 is: 9,937,493,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,371,964 : 4,615,164,624 = 4,615,164,624 : x
  2. Step 2: Convert to fraction form
    2,143,371,964/4,615,164,624 = 4,615,164,624/x
  3. Step 3: Cross multiply
    2,143,371,964x = 4,615,164,624 × 4,615,164,624
  4. Step 4: Simplify right side
    2,143,371,964x = 21,299,744,506,621,063,168
  5. Step 5: Solve for x
    x = 21,299,744,506,621,063,168/2,143,371,964
  6. Step 6: Final answer
    x = 9,937,493,288.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.