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Finding the Third Proportional to 565,451,610,584 and 793,440,545,684

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Solution

The third proportional to 565,451,610,584 and 793,440,545,684 is: 1,113,354,154,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,451,610,584 : 793,440,545,684 = 793,440,545,684 : x
  2. Step 2: Convert to fraction form
    565,451,610,584/793,440,545,684 = 793,440,545,684/x
  3. Step 3: Cross multiply
    565,451,610,584x = 793,440,545,684 × 793,440,545,684
  4. Step 4: Simplify right side
    565,451,610,584x = 629,547,899,535,323,668,938,752
  5. Step 5: Solve for x
    x = 629,547,899,535,323,668,938,752/565,451,610,584
  6. Step 6: Final answer
    x = 1,113,354,154,009.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.