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Finding the Third Proportional to 721,788,525,746.10 and 1,548,356,449,702.40

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Solution

The third proportional to 721,788,525,746.10 and 1,548,356,449,702.40 is: 3,321,482,137,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,788,525,746.10 : 1,548,356,449,702.40 = 1,548,356,449,702.40 : x
  2. Step 2: Convert to fraction form
    721,788,525,746.10/1,548,356,449,702.40 = 1,548,356,449,702.40/x
  3. Step 3: Cross multiply
    721,788,525,746.10x = 1,548,356,449,702.40 × 1,548,356,449,702.40
  4. Step 4: Simplify right side
    721,788,525,746.10x = 2,397,407,695,335,020,484,886,528
  5. Step 5: Solve for x
    x = 2,397,407,695,335,020,484,886,528/721,788,525,746.10
  6. Step 6: Final answer
    x = 3,321,482,137,523.40

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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.