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Finding the Third Proportional to 628,411,095 and 1,356,788,799

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Solution

The third proportional to 628,411,095 and 1,356,788,799 is: 2,929,413,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,411,095 : 1,356,788,799 = 1,356,788,799 : x
  2. Step 2: Convert to fraction form
    628,411,095/1,356,788,799 = 1,356,788,799/x
  3. Step 3: Cross multiply
    628,411,095x = 1,356,788,799 × 1,356,788,799
  4. Step 4: Simplify right side
    628,411,095x = 1,840,875,845,091,862,528
  5. Step 5: Solve for x
    x = 1,840,875,845,091,862,528/628,411,095
  6. Step 6: Final answer
    x = 2,929,413,340.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.