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Finding the Third Proportional to 753,265,056 and 1,596,134,904

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Solution

The third proportional to 753,265,056 and 1,596,134,904 is: 3,382,138,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,265,056 : 1,596,134,904 = 1,596,134,904 : x
  2. Step 2: Convert to fraction form
    753,265,056/1,596,134,904 = 1,596,134,904/x
  3. Step 3: Cross multiply
    753,265,056x = 1,596,134,904 × 1,596,134,904
  4. Step 4: Simplify right side
    753,265,056x = 2,547,646,631,767,089,152
  5. Step 5: Solve for x
    x = 2,547,646,631,767,089,152/753,265,056
  6. Step 6: Final answer
    x = 3,382,138,347.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.