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Finding the Third Proportional to 2,397,733,472,356.80 and 5,177,624,076,312.80

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Solution

The third proportional to 2,397,733,472,356.80 and 5,177,624,076,312.80 is: 11,180,471,634,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,733,472,356.80 : 5,177,624,076,312.80 = 5,177,624,076,312.80 : x
  2. Step 2: Convert to fraction form
    2,397,733,472,356.80/5,177,624,076,312.80 = 5,177,624,076,312.80/x
  3. Step 3: Cross multiply
    2,397,733,472,356.80x = 5,177,624,076,312.80 × 5,177,624,076,312.80
  4. Step 4: Simplify right side
    2,397,733,472,356.80x = 26,807,791,075,613,971,471,925,248
  5. Step 5: Solve for x
    x = 26,807,791,075,613,971,471,925,248/2,397,733,472,356.80
  6. Step 6: Final answer
    x = 11,180,471,634,849.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.