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Finding the Third Proportional to 771,835,478,782.50 and 1,167,680,079,996

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Solution

The third proportional to 771,835,478,782.50 and 1,167,680,079,996 is: 1,766,538,085,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,835,478,782.50 : 1,167,680,079,996 = 1,167,680,079,996 : x
  2. Step 2: Convert to fraction form
    771,835,478,782.50/1,167,680,079,996 = 1,167,680,079,996/x
  3. Step 3: Cross multiply
    771,835,478,782.50x = 1,167,680,079,996 × 1,167,680,079,996
  4. Step 4: Simplify right side
    771,835,478,782.50x = 1,363,476,769,219,464,975,613,952
  5. Step 5: Solve for x
    x = 1,363,476,769,219,464,975,613,952/771,835,478,782.50
  6. Step 6: Final answer
    x = 1,766,538,085,772.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.