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Finding the Third Proportional to 71,563,070,983.50 and 155,692,399,023

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Solution

The third proportional to 71,563,070,983.50 and 155,692,399,023 is: 338,723,908,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,563,070,983.50 : 155,692,399,023 = 155,692,399,023 : x
  2. Step 2: Convert to fraction form
    71,563,070,983.50/155,692,399,023 = 155,692,399,023/x
  3. Step 3: Cross multiply
    71,563,070,983.50x = 155,692,399,023 × 155,692,399,023
  4. Step 4: Simplify right side
    71,563,070,983.50x = 24,240,123,113,537,051,557,888
  5. Step 5: Solve for x
    x = 24,240,123,113,537,051,557,888/71,563,070,983.50
  6. Step 6: Final answer
    x = 338,723,908,580.25

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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.