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Finding the Third Proportional to 729,295,551 and 1,569,202,239

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Solution

The third proportional to 729,295,551 and 1,569,202,239 is: 3,376,402,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,295,551 : 1,569,202,239 = 1,569,202,239 : x
  2. Step 2: Convert to fraction form
    729,295,551/1,569,202,239 = 1,569,202,239/x
  3. Step 3: Cross multiply
    729,295,551x = 1,569,202,239 × 1,569,202,239
  4. Step 4: Simplify right side
    729,295,551x = 2,462,395,666,882,613,248
  5. Step 5: Solve for x
    x = 2,462,395,666,882,613,248/729,295,551
  6. Step 6: Final answer
    x = 3,376,402,973.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.