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Finding the Third Proportional to 513,033,699 and 1,098,710,803.50

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Solution

The third proportional to 513,033,699 and 1,098,710,803.50 is: 2,352,994,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,033,699 : 1,098,710,803.50 = 1,098,710,803.50 : x
  2. Step 2: Convert to fraction form
    513,033,699/1,098,710,803.50 = 1,098,710,803.50/x
  3. Step 3: Cross multiply
    513,033,699x = 1,098,710,803.50 × 1,098,710,803.50
  4. Step 4: Simplify right side
    513,033,699x = 1,207,165,429,727,615,488
  5. Step 5: Solve for x
    x = 1,207,165,429,727,615,488/513,033,699
  6. Step 6: Final answer
    x = 2,352,994,417.48

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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.