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Finding the Third Proportional to 558,684,010 and 1,316,973,334

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Solution

The third proportional to 558,684,010 and 1,316,973,334 is: 3,104,471,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,684,010 : 1,316,973,334 = 1,316,973,334 : x
  2. Step 2: Convert to fraction form
    558,684,010/1,316,973,334 = 1,316,973,334/x
  3. Step 3: Cross multiply
    558,684,010x = 1,316,973,334 × 1,316,973,334
  4. Step 4: Simplify right side
    558,684,010x = 1,734,418,762,467,075,584
  5. Step 5: Solve for x
    x = 1,734,418,762,467,075,584/558,684,010
  6. Step 6: Final answer
    x = 3,104,471,814.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.