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Finding the Third Proportional to 942,779,312 and 2,048,761,312

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Solution

The third proportional to 942,779,312 and 2,048,761,312 is: 4,452,179,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,779,312 : 2,048,761,312 = 2,048,761,312 : x
  2. Step 2: Convert to fraction form
    942,779,312/2,048,761,312 = 2,048,761,312/x
  3. Step 3: Cross multiply
    942,779,312x = 2,048,761,312 × 2,048,761,312
  4. Step 4: Simplify right side
    942,779,312x = 4,197,422,913,547,961,344
  5. Step 5: Solve for x
    x = 4,197,422,913,547,961,344/942,779,312
  6. Step 6: Final answer
    x = 4,452,179,699.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.