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Finding the Third Proportional to 21,032,172,207 and 32,754,283,834.50

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Solution

The third proportional to 21,032,172,207 and 32,754,283,834.50 is: 51,009,619,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032,172,207 : 32,754,283,834.50 = 32,754,283,834.50 : x
  2. Step 2: Convert to fraction form
    21,032,172,207/32,754,283,834.50 = 32,754,283,834.50/x
  3. Step 3: Cross multiply
    21,032,172,207x = 32,754,283,834.50 × 32,754,283,834.50
  4. Step 4: Simplify right side
    21,032,172,207x = 1,072,843,109,510,988,038,144
  5. Step 5: Solve for x
    x = 1,072,843,109,510,988,038,144/21,032,172,207
  6. Step 6: Final answer
    x = 51,009,619,879.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.