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Finding the Third Proportional to 346,895,166 and 750,948,960

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Solution

The third proportional to 346,895,166 and 750,948,960 is: 1,625,633,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,895,166 : 750,948,960 = 750,948,960 : x
  2. Step 2: Convert to fraction form
    346,895,166/750,948,960 = 750,948,960/x
  3. Step 3: Cross multiply
    346,895,166x = 750,948,960 × 750,948,960
  4. Step 4: Simplify right side
    346,895,166x = 563,924,340,525,081,600
  5. Step 5: Solve for x
    x = 563,924,340,525,081,600/346,895,166
  6. Step 6: Final answer
    x = 1,625,633,320.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.