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Finding the Third Proportional to 468,018,712,300.65 and 1,006,472,631,431.40

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Solution

The third proportional to 468,018,712,300.65 and 1,006,472,631,431.40 is: 2,164,415,932,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,018,712,300.65 : 1,006,472,631,431.40 = 1,006,472,631,431.40 : x
  2. Step 2: Convert to fraction form
    468,018,712,300.65/1,006,472,631,431.40 = 1,006,472,631,431.40/x
  3. Step 3: Cross multiply
    468,018,712,300.65x = 1,006,472,631,431.40 × 1,006,472,631,431.40
  4. Step 4: Simplify right side
    468,018,712,300.65x = 1,012,987,157,820,446,852,775,936
  5. Step 5: Solve for x
    x = 1,012,987,157,820,446,852,775,936/468,018,712,300.65
  6. Step 6: Final answer
    x = 2,164,415,932,946.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.