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Finding the Third Proportional to 154,350,818,952 and 334,344,020,448

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Solution

The third proportional to 154,350,818,952 and 334,344,020,448 is: 724,232,788,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,350,818,952 : 334,344,020,448 = 334,344,020,448 : x
  2. Step 2: Convert to fraction form
    154,350,818,952/334,344,020,448 = 334,344,020,448/x
  3. Step 3: Cross multiply
    154,350,818,952x = 334,344,020,448 × 334,344,020,448
  4. Step 4: Simplify right side
    154,350,818,952x = 111,785,924,009,332,637,171,712
  5. Step 5: Solve for x
    x = 111,785,924,009,332,637,171,712/154,350,818,952
  6. Step 6: Final answer
    x = 724,232,788,451.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.