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Finding the Third Proportional to 78,248,841,870.38 and 169,490,995,831.12

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Solution

The third proportional to 78,248,841,870.38 and 169,490,995,831.12 is: 367,126,170,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248,841,870.38 : 169,490,995,831.12 = 169,490,995,831.12 : x
  2. Step 2: Convert to fraction form
    78,248,841,870.38/169,490,995,831.12 = 169,490,995,831.12/x
  3. Step 3: Cross multiply
    78,248,841,870.38x = 169,490,995,831.12 × 169,490,995,831.12
  4. Step 4: Simplify right side
    78,248,841,870.38x = 28,727,197,667,824,733,519,872
  5. Step 5: Solve for x
    x = 28,727,197,667,824,733,519,872/78,248,841,870.38
  6. Step 6: Final answer
    x = 367,126,170,575.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.