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Finding the Third Proportional to 992,291,621 and 1,478,762,143

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Solution

The third proportional to 992,291,621 and 1,478,762,143 is: 2,203,724,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,291,621 : 1,478,762,143 = 1,478,762,143 : x
  2. Step 2: Convert to fraction form
    992,291,621/1,478,762,143 = 1,478,762,143/x
  3. Step 3: Cross multiply
    992,291,621x = 1,478,762,143 × 1,478,762,143
  4. Step 4: Simplify right side
    992,291,621x = 2,186,737,475,569,952,512
  5. Step 5: Solve for x
    x = 2,186,737,475,569,952,512/992,291,621
  6. Step 6: Final answer
    x = 2,203,724,620.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.