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Finding the Third Proportional to 346,737,661.88 and 507,666,831.75

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Solution

The third proportional to 346,737,661.88 and 507,666,831.75 is: 743,287,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,737,661.88 : 507,666,831.75 = 507,666,831.75 : x
  2. Step 2: Convert to fraction form
    346,737,661.88/507,666,831.75 = 507,666,831.75/x
  3. Step 3: Cross multiply
    346,737,661.88x = 507,666,831.75 × 507,666,831.75
  4. Step 4: Simplify right side
    346,737,661.88x = 257,725,612,059,082,816
  5. Step 5: Solve for x
    x = 257,725,612,059,082,816/346,737,661.88
  6. Step 6: Final answer
    x = 743,287,044.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.