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Finding the Third Proportional to 319,107,143 and 698,748,745

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Solution

The third proportional to 319,107,143 and 698,748,745 is: 1,530,049,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,107,143 : 698,748,745 = 698,748,745 : x
  2. Step 2: Convert to fraction form
    319,107,143/698,748,745 = 698,748,745/x
  3. Step 3: Cross multiply
    319,107,143x = 698,748,745 × 698,748,745
  4. Step 4: Simplify right side
    319,107,143x = 488,249,808,639,075,008
  5. Step 5: Solve for x
    x = 488,249,808,639,075,008/319,107,143
  6. Step 6: Final answer
    x = 1,530,049,763.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.