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Finding the Third Proportional to 710,748,240.75 and 1,584,827,925.75

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Solution

The third proportional to 710,748,240.75 and 1,584,827,925.75 is: 3,533,852,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,748,240.75 : 1,584,827,925.75 = 1,584,827,925.75 : x
  2. Step 2: Convert to fraction form
    710,748,240.75/1,584,827,925.75 = 1,584,827,925.75/x
  3. Step 3: Cross multiply
    710,748,240.75x = 1,584,827,925.75 × 1,584,827,925.75
  4. Step 4: Simplify right side
    710,748,240.75x = 2,511,679,554,237,047,296
  5. Step 5: Solve for x
    x = 2,511,679,554,237,047,296/710,748,240.75
  6. Step 6: Final answer
    x = 3,533,852,650.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.