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Finding the Third Proportional to 346,486,791 and 770,442,569.50

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Solution

The third proportional to 346,486,791 and 770,442,569.50 is: 1,713,143,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,486,791 : 770,442,569.50 = 770,442,569.50 : x
  2. Step 2: Convert to fraction form
    346,486,791/770,442,569.50 = 770,442,569.50/x
  3. Step 3: Cross multiply
    346,486,791x = 770,442,569.50 × 770,442,569.50
  4. Step 4: Simplify right side
    346,486,791x = 593,581,752,897,762,304
  5. Step 5: Solve for x
    x = 593,581,752,897,762,304/346,486,791
  6. Step 6: Final answer
    x = 1,713,143,959.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.