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Finding the Third Proportional to 463,754,754 and 1,000,145,340

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Solution

The third proportional to 463,754,754 and 1,000,145,340 is: 2,156,938,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,754,754 : 1,000,145,340 = 1,000,145,340 : x
  2. Step 2: Convert to fraction form
    463,754,754/1,000,145,340 = 1,000,145,340/x
  3. Step 3: Cross multiply
    463,754,754x = 1,000,145,340 × 1,000,145,340
  4. Step 4: Simplify right side
    463,754,754x = 1,000,290,701,123,715,584
  5. Step 5: Solve for x
    x = 1,000,290,701,123,715,584/463,754,754
  6. Step 6: Final answer
    x = 2,156,938,969.35

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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.