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Finding the Third Proportional to 513,033,701 and 1,098,710,808

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Solution

The third proportional to 513,033,701 and 1,098,710,808 is: 2,352,994,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,033,701 : 1,098,710,808 = 1,098,710,808 : x
  2. Step 2: Convert to fraction form
    513,033,701/1,098,710,808 = 1,098,710,808/x
  3. Step 3: Cross multiply
    513,033,701x = 1,098,710,808 × 1,098,710,808
  4. Step 4: Simplify right side
    513,033,701x = 1,207,165,439,616,012,800
  5. Step 5: Solve for x
    x = 1,207,165,439,616,012,800/513,033,701
  6. Step 6: Final answer
    x = 2,352,994,427.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.