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Finding the Third Proportional to 30,616,182,464.50 and 42,569,354,506

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Solution

The third proportional to 30,616,182,464.50 and 42,569,354,506 is: 59,189,284,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616,182,464.50 : 42,569,354,506 = 42,569,354,506 : x
  2. Step 2: Convert to fraction form
    30,616,182,464.50/42,569,354,506 = 42,569,354,506/x
  3. Step 3: Cross multiply
    30,616,182,464.50x = 42,569,354,506 × 42,569,354,506
  4. Step 4: Simplify right side
    30,616,182,464.50x = 1,812,149,943,057,502,437,376
  5. Step 5: Solve for x
    x = 1,812,149,943,057,502,437,376/30,616,182,464.50
  6. Step 6: Final answer
    x = 59,189,284,789.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.