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Finding the Third Proportional to 849,648,652.50 and 1,312,206,019.50

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Solution

The third proportional to 849,648,652.50 and 1,312,206,019.50 is: 2,026,584,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,648,652.50 : 1,312,206,019.50 = 1,312,206,019.50 : x
  2. Step 2: Convert to fraction form
    849,648,652.50/1,312,206,019.50 = 1,312,206,019.50/x
  3. Step 3: Cross multiply
    849,648,652.50x = 1,312,206,019.50 × 1,312,206,019.50
  4. Step 4: Simplify right side
    849,648,652.50x = 1,721,884,637,612,034,304
  5. Step 5: Solve for x
    x = 1,721,884,637,612,034,304/849,648,652.50
  6. Step 6: Final answer
    x = 2,026,584,321.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.