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Finding the Third Proportional to 1,152,508,056 and 2,523,594,288

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Solution

The third proportional to 1,152,508,056 and 2,523,594,288 is: 5,525,799,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,508,056 : 2,523,594,288 = 2,523,594,288 : x
  2. Step 2: Convert to fraction form
    1,152,508,056/2,523,594,288 = 2,523,594,288/x
  3. Step 3: Cross multiply
    1,152,508,056x = 2,523,594,288 × 2,523,594,288
  4. Step 4: Simplify right side
    1,152,508,056x = 6,368,528,130,426,226,688
  5. Step 5: Solve for x
    x = 6,368,528,130,426,226,688/1,152,508,056
  6. Step 6: Final answer
    x = 5,525,799,231.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.