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Finding the Third Proportional to 346,591,370 and 761,211,076

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Solution

The third proportional to 346,591,370 and 761,211,076 is: 1,671,831,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,591,370 : 761,211,076 = 761,211,076 : x
  2. Step 2: Convert to fraction form
    346,591,370/761,211,076 = 761,211,076/x
  3. Step 3: Cross multiply
    346,591,370x = 761,211,076 × 761,211,076
  4. Step 4: Simplify right side
    346,591,370x = 579,442,302,225,077,760
  5. Step 5: Solve for x
    x = 579,442,302,225,077,760/346,591,370
  6. Step 6: Final answer
    x = 1,671,831,304.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.