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Finding the Third Proportional to 516,820,011 and 794,389,473

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Solution

The third proportional to 516,820,011 and 794,389,473 is: 1,221,033,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,820,011 : 794,389,473 = 794,389,473 : x
  2. Step 2: Convert to fraction form
    516,820,011/794,389,473 = 794,389,473/x
  3. Step 3: Cross multiply
    516,820,011x = 794,389,473 × 794,389,473
  4. Step 4: Simplify right side
    516,820,011x = 631,054,634,813,217,792
  5. Step 5: Solve for x
    x = 631,054,634,813,217,792/516,820,011
  6. Step 6: Final answer
    x = 1,221,033,670.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.