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Finding the Third Proportional to 306,897,336 and 657,569,664

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Solution

The third proportional to 306,897,336 and 657,569,664 is: 1,408,933,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,897,336 : 657,569,664 = 657,569,664 : x
  2. Step 2: Convert to fraction form
    306,897,336/657,569,664 = 657,569,664/x
  3. Step 3: Cross multiply
    306,897,336x = 657,569,664 × 657,569,664
  4. Step 4: Simplify right side
    306,897,336x = 432,397,863,013,072,896
  5. Step 5: Solve for x
    x = 432,397,863,013,072,896/306,897,336
  6. Step 6: Final answer
    x = 1,408,933,256.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.