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Finding the Third Proportional to 1,015,233,705 and 1,369,788,637.50

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Solution

The third proportional to 1,015,233,705 and 1,369,788,637.50 is: 1,848,166,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,233,705 : 1,369,788,637.50 = 1,369,788,637.50 : x
  2. Step 2: Convert to fraction form
    1,015,233,705/1,369,788,637.50 = 1,369,788,637.50/x
  3. Step 3: Cross multiply
    1,015,233,705x = 1,369,788,637.50 × 1,369,788,637.50
  4. Step 4: Simplify right side
    1,015,233,705x = 1,876,320,911,424,106,496
  5. Step 5: Solve for x
    x = 1,876,320,911,424,106,496/1,015,233,705
  6. Step 6: Final answer
    x = 1,848,166,488.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.