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Finding the Third Proportional to 4,877,706,123 and 7,761,389,331

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Solution

The third proportional to 4,877,706,123 and 7,761,389,331 is: 12,349,896,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877,706,123 : 7,761,389,331 = 7,761,389,331 : x
  2. Step 2: Convert to fraction form
    4,877,706,123/7,761,389,331 = 7,761,389,331/x
  3. Step 3: Cross multiply
    4,877,706,123x = 7,761,389,331 × 7,761,389,331
  4. Step 4: Simplify right side
    4,877,706,123x = 60,239,164,347,360,624,640
  5. Step 5: Solve for x
    x = 60,239,164,347,360,624,640/4,877,706,123
  6. Step 6: Final answer
    x = 12,349,896,207.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.