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Finding the Third Proportional to 65,646,384 and 142,851,792

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Solution

The third proportional to 65,646,384 and 142,851,792 is: 310,856,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646,384 : 142,851,792 = 142,851,792 : x
  2. Step 2: Convert to fraction form
    65,646,384/142,851,792 = 142,851,792/x
  3. Step 3: Cross multiply
    65,646,384x = 142,851,792 × 142,851,792
  4. Step 4: Simplify right side
    65,646,384x = 20,406,634,477,611,264
  5. Step 5: Solve for x
    x = 20,406,634,477,611,264/65,646,384
  6. Step 6: Final answer
    x = 310,856,946.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.