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Finding the Third Proportional to 374,872,421,976 and 571,079,402,430

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Solution

The third proportional to 374,872,421,976 and 571,079,402,430 is: 869,980,464,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,872,421,976 : 571,079,402,430 = 571,079,402,430 : x
  2. Step 2: Convert to fraction form
    374,872,421,976/571,079,402,430 = 571,079,402,430/x
  3. Step 3: Cross multiply
    374,872,421,976x = 571,079,402,430 × 571,079,402,430
  4. Step 4: Simplify right side
    374,872,421,976x = 326,131,683,879,805,905,797,120
  5. Step 5: Solve for x
    x = 326,131,683,879,805,905,797,120/374,872,421,976
  6. Step 6: Final answer
    x = 869,980,464,715.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.