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Finding the Third Proportional to 788,965,539,312 and 1,219,679,374,446

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Solution

The third proportional to 788,965,539,312 and 1,219,679,374,446 is: 1,885,529,471,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,965,539,312 : 1,219,679,374,446 = 1,219,679,374,446 : x
  2. Step 2: Convert to fraction form
    788,965,539,312/1,219,679,374,446 = 1,219,679,374,446/x
  3. Step 3: Cross multiply
    788,965,539,312x = 1,219,679,374,446 × 1,219,679,374,446
  4. Step 4: Simplify right side
    788,965,539,312x = 1,487,617,776,448,985,997,770,752
  5. Step 5: Solve for x
    x = 1,487,617,776,448,985,997,770,752/788,965,539,312
  6. Step 6: Final answer
    x = 1,885,529,471,599.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.