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Finding the Third Proportional to 528,746,990,712 and 793,680,126,657

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Solution

The third proportional to 528,746,990,712 and 793,680,126,657 is: 1,191,360,243,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,746,990,712 : 793,680,126,657 = 793,680,126,657 : x
  2. Step 2: Convert to fraction form
    528,746,990,712/793,680,126,657 = 793,680,126,657/x
  3. Step 3: Cross multiply
    528,746,990,712x = 793,680,126,657 × 793,680,126,657
  4. Step 4: Simplify right side
    528,746,990,712x = 629,928,143,450,271,545,032,704
  5. Step 5: Solve for x
    x = 629,928,143,450,271,545,032,704/528,746,990,712
  6. Step 6: Final answer
    x = 1,191,360,243,208.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.