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Finding the Third Proportional to 942,779,316 and 2,048,761,320

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Solution

The third proportional to 942,779,316 and 2,048,761,320 is: 4,452,179,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,779,316 : 2,048,761,320 = 2,048,761,320 : x
  2. Step 2: Convert to fraction form
    942,779,316/2,048,761,320 = 2,048,761,320/x
  3. Step 3: Cross multiply
    942,779,316x = 2,048,761,320 × 2,048,761,320
  4. Step 4: Simplify right side
    942,779,316x = 4,197,422,946,328,142,336
  5. Step 5: Solve for x
    x = 4,197,422,946,328,142,336/942,779,316
  6. Step 6: Final answer
    x = 4,452,179,714.91

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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.