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Finding the Third Proportional to 539,830,921,830 and 1,124,343,331,527

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Solution

The third proportional to 539,830,921,830 and 1,124,343,331,527 is: 2,341,747,899,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,830,921,830 : 1,124,343,331,527 = 1,124,343,331,527 : x
  2. Step 2: Convert to fraction form
    539,830,921,830/1,124,343,331,527 = 1,124,343,331,527/x
  3. Step 3: Cross multiply
    539,830,921,830x = 1,124,343,331,527 × 1,124,343,331,527
  4. Step 4: Simplify right side
    539,830,921,830x = 1,264,147,927,149,233,483,808,768
  5. Step 5: Solve for x
    x = 1,264,147,927,149,233,483,808,768/539,830,921,830
  6. Step 6: Final answer
    x = 2,341,747,899,256.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.