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Finding the Third Proportional to 609,845,316,563.80 and 922,611,421,223.40

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Solution

The third proportional to 609,845,316,563.80 and 922,611,421,223.40 is: 1,395,783,178,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,845,316,563.80 : 922,611,421,223.40 = 922,611,421,223.40 : x
  2. Step 2: Convert to fraction form
    609,845,316,563.80/922,611,421,223.40 = 922,611,421,223.40/x
  3. Step 3: Cross multiply
    609,845,316,563.80x = 922,611,421,223.40 × 922,611,421,223.40
  4. Step 4: Simplify right side
    609,845,316,563.80x = 851,211,834,571,862,078,128,128
  5. Step 5: Solve for x
    x = 851,211,834,571,862,078,128,128/609,845,316,563.80
  6. Step 6: Final answer
    x = 1,395,783,178,869.11

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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.