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Finding the Third Proportional to 348,766,808 and 747,607,896

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Solution

The third proportional to 348,766,808 and 747,607,896 is: 1,602,553,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,766,808 : 747,607,896 = 747,607,896 : x
  2. Step 2: Convert to fraction form
    348,766,808/747,607,896 = 747,607,896/x
  3. Step 3: Cross multiply
    348,766,808x = 747,607,896 × 747,607,896
  4. Step 4: Simplify right side
    348,766,808x = 558,917,566,161,546,816
  5. Step 5: Solve for x
    x = 558,917,566,161,546,816/348,766,808
  6. Step 6: Final answer
    x = 1,602,553,779.03

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Why These Related Problems?

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