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Finding the Third Proportional to 884,223,923,776 and 1,358,276,121,726

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Solution

The third proportional to 884,223,923,776 and 1,358,276,121,726 is: 2,086,478,292,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,223,923,776 : 1,358,276,121,726 = 1,358,276,121,726 : x
  2. Step 2: Convert to fraction form
    884,223,923,776/1,358,276,121,726 = 1,358,276,121,726/x
  3. Step 3: Cross multiply
    884,223,923,776x = 1,358,276,121,726 × 1,358,276,121,726
  4. Step 4: Simplify right side
    884,223,923,776x = 1,844,914,022,851,023,533,506,560
  5. Step 5: Solve for x
    x = 1,844,914,022,851,023,533,506,560/884,223,923,776
  6. Step 6: Final answer
    x = 2,086,478,292,707.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.