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Finding the Third Proportional to 762,526,271 and 1,645,984,894

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Solution

The third proportional to 762,526,271 and 1,645,984,894 is: 3,553,013,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,526,271 : 1,645,984,894 = 1,645,984,894 : x
  2. Step 2: Convert to fraction form
    762,526,271/1,645,984,894 = 1,645,984,894/x
  3. Step 3: Cross multiply
    762,526,271x = 1,645,984,894 × 1,645,984,894
  4. Step 4: Simplify right side
    762,526,271x = 2,709,266,271,276,191,232
  5. Step 5: Solve for x
    x = 2,709,266,271,276,191,232/762,526,271
  6. Step 6: Final answer
    x = 3,553,013,678.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.