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Finding the Third Proportional to 346,316,076 and 536,694,566

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Solution

The third proportional to 346,316,076 and 536,694,566 is: 831,728,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,316,076 : 536,694,566 = 536,694,566 : x
  2. Step 2: Convert to fraction form
    346,316,076/536,694,566 = 536,694,566/x
  3. Step 3: Cross multiply
    346,316,076x = 536,694,566 × 536,694,566
  4. Step 4: Simplify right side
    346,316,076x = 288,041,057,173,928,352
  5. Step 5: Solve for x
    x = 288,041,057,173,928,352/346,316,076
  6. Step 6: Final answer
    x = 831,728,808.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.